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To get started with this blank [[TiddlyWiki]], you'll need to modify the following tiddlers:
* [[SiteTitle]] & [[SiteSubtitle]]: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* [[MainMenu]]: The menu (usually on the left)
* [[DefaultTiddlers]]: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>
These [[InterfaceOptions]] for customising [[TiddlyWiki]] are saved in your browser

Your username for signing your edits. Write it as a [[WikiWord]] (eg [[JoeBloggs]])

<<option txtUserName>>
<<option chkSaveBackups>> [[SaveBackups]]
<<option chkAutoSave>> [[AutoSave]]
<<option chkRegExpSearch>> [[RegExpSearch]]
<<option chkCaseSensitiveSearch>> [[CaseSensitiveSearch]]
<<option chkAnimate>> [[EnableAnimations]]

----
Also see [[AdvancedOptions]]
<<importTiddlers>>
* co-authors: Jean Fasel
* Additional Information: //Preprint v. 5 Nov 2012;// Comments welcome!
* Availability: [[ArXiv|http://arxiv.org/abs/1204.0770]],[[PDF|papers/vectorbundlesonthreefoldsv5Nov2012.pdf]]
* ''Abstract'': We give a cohomological classification of vector bundles on smooth affine threefolds over algebraically closed fields having characteristic unequal to $2$.  As a consequence, if $A$ is a smooth affine algebra of dimension $3$ over an algebraically closed field having characteristic unequal to $2$, we deduce that cancellation holds for arbitrary rank projective modules.  The proofs of these results involve three main ingredients.  First, we give a description of the second unstable ${\mathbb A}^1$-homotopy sheaf of the general linear group.  Second, these computations can be used in concert with F. Morel's ${\mathbb A}^1$-homotopy classification of vector bundles on smooth affine schemes and obstruction theoretic techniques (stemming from a version of the Postnikov tower in ${\mathbb A}^1$-homotopy theory) to reduce the classification results to cohomology vanishing statements.  Third, we prove the required vanishing statements.
* co-authors: Jean Fasel
* Additional Information: //Preprint v. 31 May 2012;// Comments welcome!
* Availability: [[ArXiv|http://arxiv.org/abs/1204.4538]],[[PDF|papers/vectorbundlesonalgebraicspheresArXivv2.pdf]]
* ''Abstract'': We complete the determination of the first non-stable ${\mathbb A}^1$-homotopy sheaf of $SL_n$ by treating the case where $n$ is even.  By means of techniques of obstruction theory involving the ${\mathbb A}^1$-Postnikov tower, supported by some ideas from the theory of unimodular rows, we classify vector bundles of rank $\geq \lfloor d/2 \rfloor$ on split smooth affine quadrics of dimension $d$.  We use these computations to answer a question posed by Nori, which gives a criterion for completability of certain unimodular rows.  Furthermore, we study compatibility of our computations of ${\mathbb A}^1$-homotopy sheaves with real and complex realization.
* Additional Information: //Preprint v. 6 Feb 2009//
* Availability:
** [[DVI|papers/almostvectorbundles.dvi]],[[PDF|papers/almostvectorbundles.pdf]]
* ''Abstract'': An almost vector bundle is an étale locally trivial smooth morphism with affine space fibers that admits a section.  One can associate a vector bundle with such an object in a natural way: take the normal bundle to the section.  Over ${\mathbb C}$, the manifold underlying an almost vector bundle is diffeomorphic to the manifold underlying the associated vector bundle.  Nevertheless, we show that there can exist infinite dimensional spaces of almost vector bundles not isomorphic to vector bundles.  On the other hand, the space of almost vector bundles with given associated vector bundle, interpreted appropriately, is contractible from the standpoint of ${\mathbb A}^1$-homotopy theory. 
* Artist [[Lun-Yi Tsai|http://www.lunyitsai.com]]'s show [[Transition Gadgets]] (4/3/08-4/30/08)
* Artist [[Lun-Yi Tsai|http://www.lunyitsai.com]]'s [[show|http://www.lunyitsai.com/berlin/index.htm]] at the Karl Hofer Gesellschaft in Berlin (2008)
* Additional Information: //Preprint v. 23 Jul 2008//
* Availability:
**New shorter (14 pp.) version (v. 23 Jul 2008): coming soon
**Old longer (24 pp.) version: (v. 8 May 2008) [[DVI|papers/exoticIIb-contractibleFinal.dvi]],[[PDF|papers/exoticIIb-contractibleFinal.pdf]]
* ''Abstract'':  In this paper, we study the difference between the unstable ${\mathbb A}^1$-homotopy category and Voevodsky's derived category of motives via a detailed investigation of smooth complex varieties whose underlying analytic spaces are contractible.  First, we prove that a smooth complex surface $X$ whose underyling analytic space is contractible is ${\mathbb A}^1$-contractible if and only if $X$ is isomorphic to ${\mathbb A}^2$.  On the other hand, we prove that the motive (in Voevodsky's sense) of such an $X$ is necessarily that of $\mathrm{Spec} {\mathbb C}$.  The difference between these two computations is closely related to non-triviality of the sheaf of ${\mathbb A}^1$-connected components that, roughly speaking, encodes information about spaces of maps from ${\mathbb A}^1$.

There is a gap in the proof of Proposition 3.1 of the old version.  This makes the proof that topologically contractible smooth complex surfaces of logarithmic Kodaira dimension $1$ are not ${\mathbb A}^1$-contractible incomplete.  We are working on fixing this. 
* co-author(s): Brent Doran
* Additional Information: //v. 08 Mar 2009 - Adv. Math. 2009, 221 (4) pp. 1144-1190//
* Availability:  [[ArXiV|http://arxiv.org/abs/0902.1564]],[[DVI|papers/toricA1finalrev2.dvi]],[[PDF|papers/toricA1finalrev2.pdf]],[[Journal|http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6W9F-4VVW4TN-1&_user=1181656&_coverDate=07%2F10%2F2009&_rdoc=1&_fmt=high&_orig=gateway&_origin=gateway&_sort=d&_docanchor=&view=c&_acct=C000051901&_version=1&_urlVersion=0&_userid=1181656&md5=26de201293093e6ed577c40232a0e1b1&searchtype=a]]
* ''Abstract'':  We study some properties of ${\mathbb A}^1$-homotopy groups: geometric interpretations of connectivity, excision results, and a re-interpretation of geometric quotients by solvable groups in terms of covering spaces in the sense of ${\mathbb A}^1$-homotopy theory. These concepts and results are well-suited to the study of certain quotients via geometric invariant theory.  As a case study in geometry of solvable group quotients, we focus on ${\mathbb A}^1$-homotopy groups of smooth toric varieties. We give simple combinatorial conditions (in terms of fans) guaranteeing vanishing of low degree ${\mathbb A}^1$-homotopy groups of smooth (proper) toric varieties. Finally, in certain cases, we can actually compute the ``next" non-vanishing A1-homotopy group (beyond the ${\mathbb A}^1$-fundamental group) of a smooth toric variety. From this point of view, ${\mathbb A}^1$-homotopy theory, even with its exquisite sensitivity to algebro-geometric structure, is almost ``as tractable" (in low degrees) as ordinary homotopy for large classes of interesting varieties.
* Additional Information: //Preprint v. 18 Nov 2011 - To appear Crelle's Journal//
* Availability: [[ArXiv|http://arxiv.org/abs/1001.4574]],[[DVI|papers/birationalinvariantsv18Nov11.dvi]], [[PDF|papers/birationalinvariantsv18Nov11.pdf]]
* ''Abstract'': We study some aspects of the relationship between ${\mathbb A}^1$-homotopy theory and birational geometry.  We study the so-called ${\mathbb A}^1$-singular chain complex and zeroth ${\mathbb A}^1$-homology {\em sheaf} of smooth algebraic varieties over a field $k$.  We exhibit some ways in which these objects are similar to their counterparts in classical topology and similar to their motivic counterparts (the (Voevodsky) motive and zeroth Suslin homology sheaf).  We show that if $k$ is infinite the zeroth ${\mathbb A}^1$-homology sheaf is a birational invariant of smooth proper varieties, and we explain how these sheaves control various cohomological invariants, e.g., unramified \'etale cohomology.  In particular, we deduce a number of vanishing results for cohomology of ${\mathbb A}^1$-connected varieties.  Finally, we give a partial converse to these vanishing statements by giving a characterization of ${\mathbb A}^1$-connectedness by means of vanishing of unramified invariants.
/***
|''Name:''|BreadCrumbsPlugin|
|''Version:''|2.2.1 (05-July-2007)|
|''Author:''|AlanHecht|
|''Adapted By:''|[[Jack]]|
|''Type:''|Plugin|
!Description
This plugin creates an area at the top of the tiddler area that displays "breadcrumbs" of where you've been. This is especially useful for ~TWs using SinglePageMode by Eric Schulman.
!Usage
Just install the plugin and tag with systemConfig. Optionally position the following div in your PageTemplate to control the positioning of the breadcrumbs menu:
{{{
<div id='breadCrumbs'></div>
}}}
!Revision History
* Original by AlanHecht
* 2.0 Made 2.0.x compatible by [[Jack]]
* Made 2.0.10 compatible (onstart paramifier)
* Bugfix -> return false in onClickTiddlerLink()
* 2.2 Made 2.2.x compatible
!Code
***/

// // Use the following line to set the number of breadcrumbs to display before rotating them off the list.
//{{{
version.extensions.breadCrumbs = {major: 2, minor: 2, revision: 1, date: new Date("Jul 5, 2007")};
var crumbsToShow = 3;
var breadCrumbs = [];

onClickTiddlerLink_orig_breadCrumbs = onClickTiddlerLink;
onClickTiddlerLink = function(e){
 onClickTiddlerLink_orig_breadCrumbs(e);
 breadcrumbsAdd(e);
 return false;
}

restart_orig_breadCrumbs = restart;
function restart() {
 invokeParamifier(params,"onstart");
 var defaultParams = store.getTiddlerText("DefaultTiddlers").parseParams("open",null,false);
 invokeParamifier(defaultParams,"onstart");
 breadCrumbs = [];
 breadcrumbsRefresh();
 window.scrollTo(0,0);
 return false;
}

function breadcrumbsAdd(e) {
 var uniqueCrumb = true;
 var crumbIndex = 0;
 if (!e) var e = window.event;
 var target = resolveTarget(e);
 var thisCrumb="[["+resolveTarget(e).getAttribute("tiddlyLink")+"]]";
 var lastInactiveCrumb = breadCrumbs.length -(breadCrumbs.length < crumbsToShow ? breadCrumbs.length : crumbsToShow);
 for(t=lastInactiveCrumb; t<breadCrumbs.length; t++)
 if(breadCrumbs[t] == thisCrumb) {
 uniqueCrumb = false;
 crumbIndex = t+1;
 }
 if(uniqueCrumb)
 breadCrumbs.push(thisCrumb);
 else
 breadCrumbs = breadCrumbs.slice(0,crumbIndex);
 breadcrumbsRefresh();
}

function breadcrumbsRefresh() {

 if (!document.getElementById("breadCrumbs")) {
 // Create breadCrumbs div
 var ca = document.createElement("div");
 ca.id = "breadCrumbs";
 ca.style.visibility= "hidden";
 var targetArea = document.getElementById("tiddlerDisplay")||document.getElementById("storyDisplay");
 targetArea.parentNode.insertBefore(ca,targetArea);
 }

 var crumbArea = document.getElementById("breadCrumbs");
 crumbArea.style.visibility = "visible";
 removeChildren(crumbArea);
 createTiddlyButton(crumbArea,"Home",null,restart);
 crumbArea.appendChild(document.createTextNode(" > "));

 var crumbLine = "";
 var crumbCount = breadCrumbs.length;
 var firstCrumb = crumbCount -(crumbCount < crumbsToShow ? crumbCount : crumbsToShow);
 for(t=firstCrumb; t<crumbCount; t++) {
 if(t != firstCrumb)
 crumbLine += " > ";
 crumbLine += breadCrumbs[t];
 }
 wikify(crumbLine,crumbArea)
}


//}}}
/***
|Name:|CloseOnCancelPlugin|
|Description:|Closes the tiddler if you click new tiddler then cancel. Default behaviour is to leave it open|
|Version:|3.0.1 ($Rev: 3861 $)|
|Date:|$Date: 2008-03-08 10:53:09 +1000 (Sat, 08 Mar 2008) $|
|Source:|http://mptw.tiddlyspot.com/#CloseOnCancelPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
//{{{
merge(config.commands.cancelTiddler,{

	handler_mptw_orig_closeUnsaved: config.commands.cancelTiddler.handler,

	handler: function(event,src,title) {
		this.handler_mptw_orig_closeUnsaved(event,src,title);
		if (!store.tiddlerExists(title) && !store.isShadowTiddler(title))
			story.closeTiddler(title,true);
	 	return false;
	}

});

//}}}

Name: MptwSmoke
Background: #fff
Foreground: #000
PrimaryPale: #aaa
PrimaryLight: #777
PrimaryMid: #111
PrimaryDark: #000
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88

* co-authors: Jean Fasel
* Additional Information: //Preprint v. 20 Jun 2013;// Comments welcome!
* Availability:  [[ArXiv|http://arxiv.org/abs/1306.5250]],[[PDF|papers/comparingEulerclassesv20Jun2013.pdf]]
* ''Abstract'': We establish the equality of two definitions of an Euler class in algebraic geometry: the first definition is as a ``characteristic class`` with values in Chow-Witt theory, while the second definition is as an ``obstruction class.`` Along the way, we refine Morel's relative Hurewicz theorem in ${\mathbb A}^1$-homotopy theory, and show how to define (twisted) Chow-Witt groups for geometric classifying spaces.
/***
|''Name:''|DataTiddlerPlugin|
|''Version:''|1.0.6 (2006-08-26)|
|''Source:''|http://tiddlywiki.abego-software.de/#DataTiddlerPlugin|
|''Author:''|UdoBorkowski (ub [at] abego-software [dot] de)|
|''Licence:''|[[BSD open source license]]|
|''TiddlyWiki:''|1.2.38+, 2.0|
|''Browser:''|Firefox 1.0.4+; InternetExplorer 6.0|
!Description
Enhance your tiddlers with structured data (such as strings, booleans, numbers, or even arrays and compound objects) that can be easily accessed and modified through named fields (in JavaScript code).

Such tiddler data can be used in various applications. E.g. you may create tables that collect data from various tiddlers.

''//Example: "Table with all December Expenses"//''
{{{
<<forEachTiddler
    where
        'tiddler.tags.contains("expense") && tiddler.data("month") == "Dec"'
    write
        '"|[["+tiddler.title+"]]|"+tiddler.data("descr")+"| "+tiddler.data("amount")+"|\n"'
>>
}}}
//(This assumes that expenses are stored in tiddlers tagged with "expense".)//
<<forEachTiddler
    where
        'tiddler.tags.contains("expense") && tiddler.data("month") == "Dec"'
    write
        '"|[["+tiddler.title+"]]|"+tiddler.data("descr")+"| "+tiddler.data("amount")+"|\n"'
>>
For other examples see DataTiddlerExamples.




''Access and Modify Tiddler Data''

You can "attach" data to every tiddler by assigning a JavaScript value (such as a string, boolean, number, or even arrays and compound objects) to named fields.

These values can be accessed and modified through the following Tiddler methods:
|!Method|!Example|!Description|
|{{{data(field)}}}|{{{t.data("age")}}}|Returns the value of the given data field of the tiddler. When no such field is defined or its value is undefined {{{undefined}}} is returned.|
|{{{data(field,defaultValue)}}}|{{{t.data("isVIP",false)}}}|Returns the value of the given data field of the tiddler. When no such field is defined or its value is undefined the defaultValue is returned.|
|{{{data()}}}|{{{t.data()}}}|Returns the data object of the tiddler, with a property for every field. The properties of the returned data object may only be read and not be modified. To modify the data use DataTiddler.setData(...) or the corresponding Tiddler method.|
|{{{setData(field,value)}}}|{{{t.setData("age",42)}}}|Sets the value of the given data field of the tiddler to the value. When the value is {{{undefined}}} the field is removed.|
|{{{setData(field,value,defaultValue)}}}|{{{t.setData("isVIP",flag,false)}}}|Sets the value of the given data field of the tiddler to the value. When the value is equal to the defaultValue no value is set (and the field is removed).|

Alternatively you may use the following functions to access and modify the data. In this case the tiddler argument is either a tiddler or the name of a tiddler.
|!Method|!Description|
|{{{DataTiddler.getData(tiddler,field)}}}|Returns the value of the given data field of the tiddler. When no such field is defined or its value is undefined {{{undefined}}} is returned.|
|{{{DataTiddler.getData(tiddler,field,defaultValue)}}}|Returns the value of the given data field of the tiddler. When no such field is defined or its value is undefined the defaultValue is returned.|
|{{{DataTiddler.getDataObject(tiddler)}}}|Returns the data object of the tiddler, with a property for every field. The properties of the returned data object may only be read and not be modified. To modify the data use DataTiddler.setData(...) or the corresponding Tiddler method.|
|{{{DataTiddler.setData(tiddler,field,value)}}}|Sets the value of the given data field of the tiddler to the value. When the value is {{{undefined}}} the field is removed.|
|{{{DataTiddler.setData(tiddler,field,value,defaultValue)}}}|Sets the value of the given data field of the tiddler to the value. When the value is equal to the defaultValue no value is set (and the field is removed).|
//(For details on the various functions see the detailed comments in the source code.)//


''Data Representation in a Tiddler''

The data of a tiddler is stored as plain text in the tiddler's content/text, inside a "data" section that is framed by a {{{<data>...</data>}}} block. Inside the data section the information is stored in the [[JSON format|http://www.crockford.com/JSON/index.html]].

//''Data Section Example:''//
{{{
<data>{"isVIP":true,"user":"John Brown","age":34}</data>
}}}

The data section is not displayed when viewing the tiddler (see also "The showData Macro").

Beside the data section a tiddler may have all kind of other content.

Typically you will not access the data section text directly but use the methods given above. Nevertheless you may retrieve the text of the data section's content through the {{{DataTiddler.getDataText(tiddler)}}} function.


''Saving Changes''

The "setData" methods respect the "ForceMinorUpdate" and "AutoSave" configuration values. I.e. when "ForceMinorUpdate" is true changing a value using setData will not affect the "modifier" and "modified" attributes. With "AutoSave" set to true every setData will directly save the changes after a setData.


''Notifications''

No notifications are sent when a tiddler's data value is changed through the "setData" methods.

''Escape Data Section''
In case that you want to use the text {{{<data>}}} or {{{</data>}}} in a tiddler text you must prefix the text with a tilde ('~'). Otherwise it may be wrongly considered as the data section. The tiddler text {{{~<data>}}} is displayed as {{{<data>}}}.


''The showData Macro''

By default the data of a tiddler (that is stored in the {{{<data>...</data>}}} section of the tiddler) is not displayed. If you want to display this data you may used the {{{<<showData ...>>}}} macro:

''Syntax:''
|>|{{{<<}}}''showData '' [''JSON''] [//tiddlerName//] {{{>>}}}|
|''JSON''|By default the data is rendered as a table with a "Name" and "Value" column. When defining ''JSON'' the data is rendered in JSON format|
|//tiddlerName//|Defines the tiddler holding the data to be displayed. When no tiddler is given the tiddler containing the showData macro is used. When the tiddler name contains spaces you must quote the name (or use the {{{[[...]]}}} syntax.)|
|>|~~Syntax formatting: Keywords in ''bold'', optional parts in [...]. 'or' means that exactly one of the two alternatives must exist.~~|


!Revision history
* v1.0.6 (2006-08-26)
** Removed misleading comment
* v1.0.5 (2006-02-27) (Internal Release Only)
** Internal
*** Make "JSLint" conform
* v1.0.4 (2006-02-05)
** Bugfix: showData fails in TiddlyWiki 2.0
* v1.0.3 (2006-01-06)
** Support TiddlyWiki 2.0
* v1.0.2 (2005-12-22)
** Enhancements:
*** Handle texts "<data>" or "</data>" more robust when used in a tiddler text or as a field value.
*** Improved (JSON) error messages.
** Bugs fixed:
*** References are not updated when using the DataTiddler.
*** Changes to compound objects are not always saved.
*** "~</data>" is not rendered correctly (expected "</data>")
* v1.0.1 (2005-12-13)
** Features:
*** The showData macro supports an optional "tiddlername" argument to specify the tiddler containing the data to be displayed
** Bugs fixed:
*** A script immediately following a data section is deleted when the data is changed. (Thanks to GeoffS for reporting.)
* v1.0.0 (2005-12-12)
** initial version

!Code
***/
//{{{
//============================================================================
//============================================================================
//                           DataTiddlerPlugin
//============================================================================
//============================================================================

// Ensure that the DataTiddler Plugin is only installed once.
//
if (!version.extensions.DataTiddlerPlugin) {



version.extensions.DataTiddlerPlugin = {
    major: 1, minor: 0, revision: 6,
    date: new Date(2006, 7, 26),
    type: 'plugin',
    source: "http://tiddlywiki.abego-software.de/#DataTiddlerPlugin"
};

// For backward compatibility with v1.2.x
//
if (!window.story) window.story=window;
if (!TiddlyWiki.prototype.getTiddler) {
	TiddlyWiki.prototype.getTiddler = function(title) {
		var t = this.tiddlers[title];
		return (t !== undefined && t instanceof Tiddler) ? t : null;
	};
}

//============================================================================
// DataTiddler Class
//============================================================================

// ---------------------------------------------------------------------------
// Configurations and constants
// ---------------------------------------------------------------------------

function DataTiddler() {
}

DataTiddler = {
    // Function to stringify a JavaScript value, producing the text for the data section content.
    // (Must match the implementation of DataTiddler.parse.)
    //
    stringify : null,


    // Function to parse the text for the data section content, producing a JavaScript value.
    // (Must match the implementation of DataTiddler.stringify.)
    //
    parse : null
};

// Ensure access for IE
window.DataTiddler = DataTiddler;

// ---------------------------------------------------------------------------
// Data Accessor and Mutator
// ---------------------------------------------------------------------------


// Returns the value of the given data field of the tiddler.
// When no such field is defined or its value is undefined
// the defaultValue is returned.
//
// @param tiddler either a tiddler name or a tiddler
//
DataTiddler.getData = function(tiddler, field, defaultValue) {
    var t = (typeof tiddler == "string") ? store.getTiddler(tiddler) : tiddler;
    if (!(t instanceof Tiddler)) {
        throw "Tiddler expected. Got "+tiddler;
    }

    return DataTiddler.getTiddlerDataValue(t, field, defaultValue);
};


// Sets the value of the given data field of the tiddler to
// the value. When the value is equal to the defaultValue
// no value is set (and the field is removed)
//
// Changing data of a tiddler will not trigger notifications.
//
// @param tiddler either a tiddler name or a tiddler
//
DataTiddler.setData = function(tiddler, field, value, defaultValue) {
    var t = (typeof tiddler == "string") ? store.getTiddler(tiddler) : tiddler;
    if (!(t instanceof Tiddler)) {
        throw "Tiddler expected. Got "+tiddler+ "("+t+")";
    }

    DataTiddler.setTiddlerDataValue(t, field, value, defaultValue);
};


// Returns the data object of the tiddler, with a property for every field.
//
// The properties of the returned data object may only be read and
// not be modified. To modify the data use DataTiddler.setData(...)
// or the corresponding Tiddler method.
//
// If no data section is defined a new (empty) object is returned.
//
// @param tiddler either a tiddler name or a Tiddler
//
DataTiddler.getDataObject = function(tiddler) {
    var t = (typeof tiddler == "string") ? store.getTiddler(tiddler) : tiddler;
    if (!(t instanceof Tiddler)) {
        throw "Tiddler expected. Got "+tiddler;
    }

    return DataTiddler.getTiddlerDataObject(t);
};

// Returns the text of the content of the data section of the tiddler.
//
// When no data section is defined for the tiddler null is returned
//
// @param tiddler either a tiddler name or a Tiddler
// @return [may be null]
//
DataTiddler.getDataText = function(tiddler) {
    var t = (typeof tiddler == "string") ? store.getTiddler(tiddler) : tiddler;
    if (!(t instanceof Tiddler)) {
        throw "Tiddler expected. Got "+tiddler;
    }

    return DataTiddler.readDataSectionText(t);
};


// ---------------------------------------------------------------------------
// Internal helper methods (must not be used by code from outside this plugin)
// ---------------------------------------------------------------------------

// Internal.
//
// The original JSONError is not very user friendly,
// especially it does not define a toString() method
// Therefore we extend it here.
//
DataTiddler.extendJSONError = function(ex) {
	if (ex.name == 'JSONError') {
        ex.toString = function() {
			return ex.name + ": "+ex.message+" ("+ex.text+")";
		};
	}
	return ex;
};

// Internal.
//
// @param t a Tiddler
//
DataTiddler.getTiddlerDataObject = function(t) {
    if (t.dataObject === undefined) {
        var data = DataTiddler.readData(t);
        t.dataObject = (data) ? data : {};
    }

    return t.dataObject;
};


// Internal.
//
// @param tiddler a Tiddler
//
DataTiddler.getTiddlerDataValue = function(tiddler, field, defaultValue) {
    var value = DataTiddler.getTiddlerDataObject(tiddler)[field];
    return (value === undefined) ? defaultValue : value;
};


// Internal.
//
// @param tiddler a Tiddler
//
DataTiddler.setTiddlerDataValue = function(tiddler, field, value, defaultValue) {
    var data = DataTiddler.getTiddlerDataObject(tiddler);
    var oldValue = data[field];
	
    if (value == defaultValue) {
        if (oldValue !== undefined) {
            delete data[field];
            DataTiddler.save(tiddler);
        }
        return;
    }
    data[field] = value;
    DataTiddler.save(tiddler);
};

// Internal.
//
// Reads the data section from the tiddler's content and returns its text
// (as a String).
//
// Returns null when no data is defined.
//
// @param tiddler a Tiddler
// @return [may be null]
//
DataTiddler.readDataSectionText = function(tiddler) {
    var matches = DataTiddler.getDataTiddlerMatches(tiddler);
    if (matches === null || !matches[2]) {
        return null;
    }
    return matches[2];
};

// Internal.
//
// Reads the data section from the tiddler's content and returns it
// (as an internalized object).
//
// Returns null when no data is defined.
//
// @param tiddler a Tiddler
// @return [may be null]
//
DataTiddler.readData = function(tiddler) {
    var text = DataTiddler.readDataSectionText(tiddler);
	try {
	    return text ? DataTiddler.parse(text) : null;
	} catch(ex) {
		throw DataTiddler.extendJSONError(ex);
	}
};

// Internal.
//
// Returns the serialized text of the data of the given tiddler, as it
// should be stored in the data section.
//
// @param tiddler a Tiddler
//
DataTiddler.getDataTextOfTiddler = function(tiddler) {
    var data = DataTiddler.getTiddlerDataObject(tiddler);
    return DataTiddler.stringify(data);
};


// Internal.
//
DataTiddler.indexOfNonEscapedText = function(s, subString, startIndex) {
	var index = s.indexOf(subString, startIndex);
	while ((index > 0) && (s[index-1] == '~')) {
		index = s.indexOf(subString, index+1);
	}
	return index;
};

// Internal.
//
DataTiddler.getDataSectionInfo = function(text) {
	// Special care must be taken to handle "<data>" and "</data>" texts inside
	// a data section.
	// Also take care not to use an escaped <data> (i.e. "~<data>") as the start
	// of a data section. (Same for </data>)

    // NOTE: we are explicitly searching for a data section that contains a JSON
    // string, i.e. framed with braces. This way we are little bit more robust in
    // case the tiddler contains unescaped texts "<data>" or "</data>". This must
    // be changed when using a different stringifier.

	var startTagText = "<data>{";
	var endTagText = "}</data>";

	var startPos = 0;

	// Find the first not escaped "<data>".
	var startDataTagIndex = DataTiddler.indexOfNonEscapedText(text, startTagText, 0);
	if (startDataTagIndex < 0) {
		return null;
	}

	// Find the *last* not escaped "</data>".
	var endDataTagIndex = text.indexOf(endTagText, startDataTagIndex);
	if (endDataTagIndex < 0) {
		return null;
	}
	var nextEndDataTagIndex;
	while ((nextEndDataTagIndex = text.indexOf(endTagText, endDataTagIndex+1)) >= 0) {
		endDataTagIndex = nextEndDataTagIndex;
	}

	return {
		prefixEnd: startDataTagIndex,
		dataStart: startDataTagIndex+(startTagText.length)-1,
		dataEnd: endDataTagIndex,
		suffixStart: endDataTagIndex+(endTagText.length)
	};
};

// Internal.
//
// Returns the "matches" of a content of a DataTiddler on the
// "data" regular expression. Return null when no data is defined
// in the tiddler content.
//
// Group 1: text before data section (prefix)
// Group 2: content of data section
// Group 3: text behind data section (suffix)
//
// @param tiddler a Tiddler
// @return [may be null] null when the tiddler contains no data section, otherwise see above.
//
DataTiddler.getDataTiddlerMatches = function(tiddler) {
	var text = tiddler.text;
	var info = DataTiddler.getDataSectionInfo(text);
	if (!info) {
		return null;
	}

	var prefix = text.substr(0,info.prefixEnd);
	var data = text.substr(info.dataStart, info.dataEnd-info.dataStart+1);
	var suffix = text.substr(info.suffixStart);
	
	return [text, prefix, data, suffix];
};


// Internal.
//
// Saves the data in a <data> block of the given tiddler (as a minor change).
//
// The "chkAutoSave" and "chkForceMinorUpdate" options are respected.
// I.e. the TiddlyWiki *file* is only saved when AutoSave is on.
//
// Notifications are not send.
//
// This method should only be called when the data really has changed.
//
// @param tiddler
//             the tiddler to be saved.
//
DataTiddler.save = function(tiddler) {

    var matches = DataTiddler.getDataTiddlerMatches(tiddler);

    var prefix;
    var suffix;
    if (matches === null) {
        prefix = tiddler.text;
        suffix = "";
    } else {
        prefix = matches[1];
        suffix = matches[3];
    }

    var dataText = DataTiddler.getDataTextOfTiddler(tiddler);
    var newText =
            (dataText !== null)
                ? prefix + "<data>" + dataText + "</data>" + suffix
                : prefix + suffix;
    if (newText != tiddler.text) {
        // make the change in the tiddlers text

        // ... see DataTiddler.MyTiddlerChangedFunction
        tiddler.isDataTiddlerChange = true;

        // ... do the action change
        tiddler.set(
                tiddler.title,
                newText,
                config.options.txtUserName,
                config.options.chkForceMinorUpdate? undefined : new Date(),
                tiddler.tags);

        // ... see DataTiddler.MyTiddlerChangedFunction
        delete tiddler.isDataTiddlerChange;

        // Mark the store as dirty.
        store.dirty = true;

        // AutoSave if option is selected
        if(config.options.chkAutoSave) {
           saveChanges();
        }
    }
};

// Internal.
//
DataTiddler.MyTiddlerChangedFunction = function() {
    // Remove the data object from the tiddler when the tiddler is changed
    // by code other than DataTiddler code.
    //
    // This is necessary since the data object is just a "cached version"
    // of the data defined in the data section of the tiddler and the
    // "external" change may have changed the content of the data section.
    // Thus we are not sure if the data object reflects the data section
    // contents.
    //
    // By deleting the data object we ensure that the data object is
    // reconstructed the next time it is needed, with the data defined by
    // the data section in the tiddler's text.

    // To indicate that a change is a "DataTiddler change" a temporary
    // property "isDataTiddlerChange" is added to the tiddler.
    if (this.dataObject && !this.isDataTiddlerChange) {
        delete this.dataObject;
    }

    // call the original code.
	DataTiddler.originalTiddlerChangedFunction.apply(this, arguments);
};


//============================================================================
// Formatters
//============================================================================

// This formatter ensures that "~<data>" is rendered as "<data>". This is used to
// escape the "<data>" of a data section, just in case someone really wants to use
// "<data>" as a text in a tiddler and not start a data section.
//
// Same for </data>.
//
config.formatters.push( {
    name: "data-escape",
    match: "~<\\/?data>",

    handler: function(w) {
            w.outputText(w.output,w.matchStart + 1,w.nextMatch);
    }
} );


// This formatter ensures that <data>...</data> sections are not rendered.
//
config.formatters.push( {
    name: "data",
    match: "<data>",

    handler: function(w) {
		var info = DataTiddler.getDataSectionInfo(w.source);
		if (info && info.prefixEnd == w.matchStart) {
            w.nextMatch = info.suffixStart;
		} else {
			w.outputText(w.output,w.matchStart,w.nextMatch);
		}
    }
} );


//============================================================================
// Tiddler Class Extension
//============================================================================

// "Hijack" the changed method ---------------------------------------------------

DataTiddler.originalTiddlerChangedFunction = Tiddler.prototype.changed;
Tiddler.prototype.changed = DataTiddler.MyTiddlerChangedFunction;

// Define accessor methods -------------------------------------------------------

// Returns the value of the given data field of the tiddler. When no such field
// is defined or its value is undefined the defaultValue is returned.
//
// When field is undefined (or null) the data object is returned. (See
// DataTiddler.getDataObject.)
//
// @param field [may be null, undefined]
// @param defaultValue [may be null, undefined]
// @return [may be null, undefined]
//
Tiddler.prototype.data = function(field, defaultValue) {
    return (field)
         ? DataTiddler.getTiddlerDataValue(this, field, defaultValue)
         : DataTiddler.getTiddlerDataObject(this);
};

// Sets the value of the given data field of the tiddler to the value. When the
// value is equal to the defaultValue no value is set (and the field is removed).
//
// @param value [may be null, undefined]
// @param defaultValue [may be null, undefined]
//
Tiddler.prototype.setData = function(field, value, defaultValue) {
    DataTiddler.setTiddlerDataValue(this, field, value, defaultValue);
};


//============================================================================
// showData Macro
//============================================================================

config.macros.showData = {
     // Standard Properties
     label: "showData",
     prompt: "Display the values stored in the data section of the tiddler"
};

config.macros.showData.handler = function(place,macroName,params) {
    // --- Parsing ------------------------------------------

    var i = 0; // index running over the params
    // Parse the optional "JSON"
    var showInJSONFormat = false;
    if ((i < params.length) && params[i] == "JSON") {
        i++;
        showInJSONFormat = true;
    }

    var tiddlerName = story.findContainingTiddler(place).id.substr(7);
    if (i < params.length) {
        tiddlerName = params[i];
        i++;
    }

    // --- Processing ------------------------------------------
    try {
        if (showInJSONFormat) {
            this.renderDataInJSONFormat(place, tiddlerName);
        } else {
            this.renderDataAsTable(place, tiddlerName);
        }
    } catch (e) {
        this.createErrorElement(place, e);
    }
};

config.macros.showData.renderDataInJSONFormat = function(place,tiddlerName) {
    var text = DataTiddler.getDataText(tiddlerName);
    if (text) {
        createTiddlyElement(place,"pre",null,null,text);
    }
};

config.macros.showData.renderDataAsTable = function(place,tiddlerName) {
    var text = "|!Name|!Value|\n";
    var data = DataTiddler.getDataObject(tiddlerName);
    if (data) {
        for (var i in data) {
            var value = data[i];
            text += "|"+i+"|"+DataTiddler.stringify(value)+"|\n";
        }
    }

    wikify(text, place);
};


// Internal.
//
// Creates an element that holds an error message
//
config.macros.showData.createErrorElement = function(place, exception) {
    var message = (exception.description) ? exception.description : exception.toString();
    return createTiddlyElement(place,"span",null,"showDataError","<<showData ...>>: "+message);
};

// ---------------------------------------------------------------------------
// Stylesheet Extensions (may be overridden by local StyleSheet)
// ---------------------------------------------------------------------------
//
setStylesheet(
    ".showDataError{color: #ffffff;background-color: #880000;}",
    "showData");


} // of "install only once"
// Used Globals (for JSLint) ==============

// ... TiddlyWiki Core
/*global 	createTiddlyElement, saveChanges, store, story, wikify */
// ... DataTiddler
/*global 	DataTiddler */
// ... JSON
/*global 	JSON */
			

/***
!JSON Code, used to serialize the data
***/
/*
Copyright (c) 2005 JSON.org

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The Software shall be used for Good, not Evil.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
*/

/*
    The global object JSON contains two methods.

    JSON.stringify(value) takes a JavaScript value and produces a JSON text.
    The value must not be cyclical.

    JSON.parse(text) takes a JSON text and produces a JavaScript value. It will
    throw a 'JSONError' exception if there is an error.
*/
var JSON = {
    copyright: '(c)2005 JSON.org',
    license: 'http://www.crockford.com/JSON/license.html',
/*
    Stringify a JavaScript value, producing a JSON text.
*/
    stringify: function (v) {
        var a = [];

/*
    Emit a string.
*/
        function e(s) {
            a[a.length] = s;
        }

/*
    Convert a value.
*/
        function g(x) {
            var c, i, l, v;

            switch (typeof x) {
            case 'object':
                if (x) {
                    if (x instanceof Array) {
                        e('[');
                        l = a.length;
                        for (i = 0; i < x.length; i += 1) {
                            v = x[i];
                            if (typeof v != 'undefined' &&
                                    typeof v != 'function') {
                                if (l < a.length) {
                                    e(',');
                                }
                                g(v);
                            }
                        }
                        e(']');
                        return;
                    } else if (typeof x.toString != 'undefined') {
                        e('{');
                        l = a.length;
                        for (i in x) {
                            v = x[i];
                            if (x.hasOwnProperty(i) &&
                                    typeof v != 'undefined' &&
                                    typeof v != 'function') {
                                if (l < a.length) {
                                    e(',');
                                }
                                g(i);
                                e(':');
                                g(v);
                            }
                        }
                        return e('}');
                    }
                }
                e('null');
                return;
            case 'number':
                e(isFinite(x) ? +x : 'null');
                return;
            case 'string':
                l = x.length;
                e('"');
                for (i = 0; i < l; i += 1) {
                    c = x.charAt(i);
                    if (c >= ' ') {
                        if (c == '\\' || c == '"') {
                            e('\\');
                        }
                        e(c);
                    } else {
                        switch (c) {
                            case '\b':
                                e('\\b');
                                break;
                            case '\f':
                                e('\\f');
                                break;
                            case '\n':
                                e('\\n');
                                break;
                            case '\r':
                                e('\\r');
                                break;
                            case '\t':
                                e('\\t');
                                break;
                            default:
                                c = c.charCodeAt();
                                e('\\u00' + Math.floor(c / 16).toString(16) +
                                    (c % 16).toString(16));
                        }
                    }
                }
                e('"');
                return;
            case 'boolean':
                e(String(x));
                return;
            default:
                e('null');
                return;
            }
        }
        g(v);
        return a.join('');
    },
/*
    Parse a JSON text, producing a JavaScript value.
*/
    parse: function (text) {
        var p = /^\s*(([,:{}\[\]])|"(\\.|[^\x00-\x1f"\\])*"|-?\d+(\.\d*)?([eE][+-]?\d+)?|true|false|null)\s*/,
            token,
            operator;

        function error(m, t) {
            throw {
                name: 'JSONError',
                message: m,
                text: t || operator || token
            };
        }

        function next(b) {
            if (b && b != operator) {
                error("Expected '" + b + "'");
            }
            if (text) {
                var t = p.exec(text);
                if (t) {
                    if (t[2]) {
                        token = null;
                        operator = t[2];
                    } else {
                        operator = null;
                        try {
                            token = eval(t[1]);
                        } catch (e) {
                            error("Bad token", t[1]);
                        }
                    }
                    text = text.substring(t[0].length);
                } else {
                    error("Unrecognized token", text);
                }
            } else {
                token = operator = undefined;
            }
        }


        function val() {
            var k, o;
            switch (operator) {
            case '{':
                next('{');
                o = {};
                if (operator != '}') {
                    for (;;) {
                        if (operator || typeof token != 'string') {
                            error("Missing key");
                        }
                        k = token;
                        next();
                        next(':');
                        o[k] = val();
                        if (operator != ',') {
                            break;
                        }
                        next(',');
                    }
                }
                next('}');
                return o;
            case '[':
                next('[');
                o = [];
                if (operator != ']') {
                    for (;;) {
                        o.push(val());
                        if (operator != ',') {
                            break;
                        }
                        next(',');
                    }
                }
                next(']');
                return o;
            default:
                if (operator !== null) {
                    error("Missing value");
                }
                k = token;
                next();
                return k;
            }
        }
        next();
        return val();
    }
};

/***
!Setup the data serialization
***/

DataTiddler.format = "JSON";
DataTiddler.stringify = JSON.stringify;
DataTiddler.parse = JSON.parse;

//}}}

[[Teaching]]
[[Research]]
[[Events]]
<!--{{{-->
<div class='toolbar' macro='toolbar [[ToolbarCommands::EditToolbar]]'></div>
<div class='title' macro='view title'></div>
<div class='editor' macro='edit title'></div>
<div macro='annotations'></div>
<div class='editor' macro='edit text'></div>
<div class='editor' macro='edit tags'></div><div class='editorFooter'><span macro='message views.editor.tagPrompt'></span><span macro='tagChooser'></span></div>
<!--}}}-->
* co-author(s): Brent Doran and Frances Kirwan
* Additional Information:
* Availability: In preparation
* ''Abstract'':  This paper will provide complete proofs for the results stated in [[Yang- Mills theory and Tamagawa Numbers]].  In particular, we define a Borel-style equivariant motivic cohomology theory and prove properties of this theory analogous to those of [[ordinary equivariant cohomology|http://en.wikipedia.org/wiki/Equivariant_cohomology]].  We then show how the stratification studied in the thesis of the third author can be used to study equivariant motivic cohomology of quotients.  
* Additional Information: //[[Pure and Applied Mathematics Quarterly v.2 no. 4|http://qjpam.henu.edu.cn/onlineinfo.jsp?id=21]], pp. 1085-1102, 2006//
* Availability: [[ArXiv|http://arxiv.org/abs/math/0604344]],[[DVI|papers/asok-equivvb.dvi]],[[PDF|papers/asok-equivvb.pdf]],[[Journal|http://qjpam.henu.edu.cn/articleinfo.jsp?articleID=135]],[[MathSciNet|http://www.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&s4=Asok&s5=&s6=&s7=&s8=All&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=2&mx-pid=2282414]]
* ''Abstract'':  We give a concrete description of the category of $G$-equivariant vector bundles on certain affine $G$-varieties (where $G$ is a reductive linear algebraic group) in terms of linear algebra data.
* co-author: James Parson
* Additional Information: Preprint (announcement of results and worked example; v. 25 Aug 2009)
* Availability: [[ArXiv|http://arxiv.org/abs/0908.3906]],[[DVI|papers/equivvb-announcement.dvi]],[[PDF|papers/equivvb-nnouncement.pdf]]
* Abstract: We describe categories of equivariant vector bundles on certain toroidal spherical varieties in linear algebra terms: vector spaces equipped with filtrations, group and Lie algebra actions, and linear maps preserving these structures.   
* co-author(s): James Parson
* Additional Information:
* Availability:
* ''Abstract'':  
!!!! Recurring Events
* [[USC Algebra Seminar|seminar.html]]
* [[UCLA Algebra Seminar|http://papyrus.math.ucla.edu/seminars/show_quarter.php?t=1255319592&type=Algebra&id=&tba=false]]
!!!! Current or Upcoming events
* [[Workshop on Motives VII|http://www.lcv.ne.jp/~smaki/en/MotiveWS/index.html]] - Tokyo (12/12/11-12/16/11)
<<slider chkPastEvents "Past Events" "Past Events">>
<<slider chkArtEvents "Art Events" "Art Events">>
/***
|Name:|ExtentTagButtonPlugin|
|Description:|Adds a New tiddler button in the tag drop down|
|Version:|3.2 ($Rev: 3861 $)|
|Date:|$Date: 2008-03-08 10:53:09 +1000 (Sat, 08 Mar 2008) $|
|Source:|http://mptw.tiddlyspot.com/#ExtendTagButtonPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
//{{{

window.onClickTag_mptw_orig = window.onClickTag;
window.onClickTag = function(e) {
	window.onClickTag_mptw_orig.apply(this,arguments);
	var tag = this.getAttribute("tag");
	var title = this.getAttribute("tiddler");
	// Thanks Saq, you're a genius :)
	var popup = Popup.stack[Popup.stack.length-1].popup;
	createTiddlyElement(createTiddlyElement(popup,"li",null,"listBreak"),"div");
	wikify("<<newTiddler label:'New tiddler' tag:'"+tag+"'>>",createTiddlyElement(popup,"li"));
	return false;
}

//}}}

/***
<<checkForDataTiddlerPlugin>>
|''Name:''|FormTiddlerPlugin|
|''Version:''|1.0.6 (2007-06-24)|
|''Source:''|http://tiddlywiki.abego-software.de/#FormTiddlerPlugin|
|''Author:''|UdoBorkowski (ub [at] abego-software [dot] de)|
|''Licence:''|[[BSD open source license]]|
|''Macros:''|formTiddler, checkForDataTiddlerPlugin, newTiddlerWithForm|
|''Requires:''|DataTiddlerPlugin|
|''TiddlyWiki:''|1.2.38+, 2.0|
|''Browser:''|Firefox 1.0.4+; InternetExplorer 6.0|
!Description
Use form-based tiddlers to enter your tiddler data using text fields, listboxes, checkboxes etc. (All standard HTML Form input elements supported).

''Syntax:''
|>|{{{<<}}}''formTiddler'' //tiddlerName//{{{>>}}}|
|//tiddlerName//|The name of the FormTemplate tiddler to be used to edit the data of the tiddler containing the macro.|

|>|{{{<<}}}''newTiddlerWithForm'' //formTemplateName// //buttonLabel// [//titleExpression// [''askUser'']] {{{>>}}}|
|//formTemplateName//|The name of the tiddler that defines the form the new tiddler should use.|
|//buttonLabel//|The label of the button|
|//titleExpression//|A (quoted) JavaScript String expression that defines the title (/name) of the new tiddler.|
|''askUser''|Typically the user is not asked for the title when a title is specified (and not yet used). When ''askUser'' is given the user will be asked in any case. This may be used when the calculated title is just a suggestion that must be confirmed by the user|
|>|~~Syntax formatting: Keywords in ''bold'', optional parts in [...]. 'or' means that exactly one of the two alternatives must exist.~~|

For details and how to use the macros see the [[introduction|FormTiddler Introduction]] and the [[examples|FormTiddler Examples]].

!Revision history
* v1.0.6 (2007-06-24)
** Fixed problem when using SELECT component in Internet Explorer (thanks to MaikBoenig for reporting)
* v1.0.5 (2006-02-24)
** Removed "debugger;" instruction
* v1.0.4 (2006-02-07)
** Bug: On IE no data is written to data section when field values changed (thanks to KenGirard for reporting)
* v1.0.3 (2006-02-05)
** Bug: {{{"No form template specified in <<formTiddler>>"}}} when using formTiddler macro on InternetExplorer (thanks to KenGirard for reporting)
* v1.0.2 (2006-01-06)
** Support TiddlyWiki 2.0
* v1.0.1 (2005-12-22)
** Features:
*** Support InternetExplorer
*** Added newTiddlerWithForm Macro
* v1.0.0 (2005-12-14)
** initial version

!Code
***/
//{{{

//============================================================================
//============================================================================
//						FormTiddlerPlugin
//============================================================================
//============================================================================

if (!window.abego) window.abego = {};

abego.getOptionsValue = function(element,i) {
	var v = element.options[i].value;
	if (!v && element.options[i].text)
		v = element.options[i].text;
	return v;
};

version.extensions.FormTiddlerPlugin = {
	major: 1, minor: 0, revision: 5,
	date: new Date(2006, 2, 24),
	type: 'plugin',
	source: "http://tiddlywiki.abego-software.de/#FormTiddlerPlugin"
};

// For backward compatibility with v1.2.x
//
if (!window.story) window.story=window;
if (!TiddlyWiki.prototype.getTiddler) TiddlyWiki.prototype.getTiddler = function(title) { return t = this.tiddlers[title]; return (t != undefined && t instanceof Tiddler) ? t : null; }

//============================================================================
// formTiddler Macro
//============================================================================

// -------------------------------------------------------------------------------
// Configurations and constants
// -------------------------------------------------------------------------------

config.macros.formTiddler = {
	// Standard Properties
	label: "formTiddler",
	version: {major: 1, minor: 0, revision: 4, date: new Date(2006, 2, 7)},
	prompt: "Edit tiddler data using forms",

	// Define the "setters" that set the values of INPUT elements of a given type
	// (must match the corresponding "getter")
	setter: {
		button:				function(e, value) {/*contains no data */ },
		checkbox:			function(e, value) {e.checked = value;},
		file:				function(e, value) {try {e.value = value;} catch(e) {/* ignore, possibly security error*/}},
		hidden:				function(e, value) {e.value = value;},
		password:			function(e, value) {e.value = value;},
		radio:				function(e, value) {e.checked = (e.value == value);},
		reset:				function(e, value) {/*contains no data */ },
		"select-one":		function(e, value) {config.macros.formTiddler.setSelectOneValue(e,value);},
		"select-multiple":	function(e, value) {config.macros.formTiddler.setSelectMultipleValue(e,value);},
		submit:				function(e, value) {/*contains no data */},
		text:				function(e, value) {e.value = value;},
		textarea:			function(e, value) {e.value = value;}
	},

	// Define the "getters" that return the value of INPUT elements of a given type
	// Return undefined to not store any data.
	getter: {
		button:				function(e, value) {return undefined;},
		checkbox:			function(e, value) {return e.checked;},
		file:				function(e, value) {return e.value;},
		hidden:				function(e, value) {return e.value;},
		password:			function(e, value) {return e.value;},
		radio:				function(e, value) {return e.checked ? e.value : undefined;},
		reset:				function(e, value) {return undefined;},
		"select-one":		function(e, value) {return config.macros.formTiddler.getSelectOneValue(e);},
		"select-multiple":	function(e, value) {return config.macros.formTiddler.getSelectMultipleValue(e);},
		submit:				function(e, value) {return undefined;},
		text:				function(e, value) {return e.value;},
		textarea:			function(e, value) {return e.value;}
	}
};


// -------------------------------------------------------------------------------
// The formTiddler Macro Handler
// -------------------------------------------------------------------------------

config.macros.formTiddler.handler = function(place,macroName,params,wikifier,paramString,tiddler) {
	if (!config.macros.formTiddler.checkForExtensions(place, macroName)) {
		return;
	}
	// --- Parsing ------------------------------------------

	var i = 0; // index running over the params

	// get the name of the form template tiddler
	var formTemplateName = undefined;
	if (i < params.length) {
		formTemplateName = params[i];
		i++;
	}

	if (!formTemplateName) {
		config.macros.formTiddler.createErrorElement(place, "No form template specified in <<" + macroName + ">>.");
		return;
	}


	// --- Processing ------------------------------------------

	// Get the form template text.
	// (This contains the INPUT elements for the form.)
	var formTemplateTiddler = store.getTiddler(formTemplateName);
	if (!formTemplateTiddler) {
		config.macros.formTiddler.createErrorElement(place, "Form template '" + formTemplateName + "' not found.");
		return;
	}
	var templateText = formTemplateTiddler.text;
	if(!templateText) {
		// Shortcut: when template text is empty we do nothing.
		return;
	}

	// Get the name of the tiddler containing this "formTiddler" macro
	// (i.e. the tiddler, that will be edited and that contains the data)
	var tiddlerName = config.macros.formTiddler.getContainingTiddlerName(place);

	// Append a "form" element.
	var formName = "form"+formTemplateName+"__"+tiddlerName;
	var e = document.createElement("form");
	e.setAttribute("name", formName);
	place.appendChild(e);

	// "Embed" the elements defined by the templateText (i.e. the INPUT elements)
	// into the "form" element we just created
	wikify(templateText, e);

	// Initialize the INPUT elements.
	config.macros.formTiddler.initValuesAndHandlersInFormElements(formName, DataTiddler.getDataObject(tiddlerName));
}


// -------------------------------------------------------------------------------
// Form Data Access
// -------------------------------------------------------------------------------

// Internal.
//
// Initialize the INPUT elements of the form with the values of their "matching"
// data fields in the tiddler. Also setup the onChange handler to ensure that
// changes in the INPUT elements are stored in the tiddler's data.
//
config.macros.formTiddler.initValuesAndHandlersInFormElements = function(formName, data) {
	// config.macros.formTiddler.trace("initValuesAndHandlersInFormElements(formName="+formName+", data="+data+")");

	// find the form
	var form = config.macros.formTiddler.findForm(formName);
	if (!form) {
		return;
	}

	try {
		var elems = form.elements;
		for (var i = 0; i < elems.length; i++) {
			var c = elems[i];
		
			var setter = config.macros.formTiddler.setter[c.type];
			if (setter) {
				var value = data[c.name];
				if (value != null) {
					setter(c, value);
				}
				c.onchange = onFormTiddlerChange;
			} else {
				config.macros.formTiddler.displayFormTiddlerError("No setter defined for INPUT element of type '"+c.type+"'. (Element '"+c.name+"' in form '"+formName+"')");
			}
		}
	} catch(e) {
		config.macros.formTiddler.displayFormTiddlerError("Error when updating elements with new formData. "+e);
	}
}


// Internal.
//
// @return [may be null]
//
config.macros.formTiddler.findForm = function(formName) {
	// We must manually iterate through the document's forms, since
	// IE does not support the "document[formName]" approach

	var forms = window.document.forms;
	for (var i = 0; i < forms.length; i++) {
		var form = forms[i];
		if (form.name == formName) {
			return form;
		}
	}

	return null;
}


// Internal.
//
config.macros.formTiddler.setSelectOneValue = function(element,value) {
	var n = element.options.length;
	for (var i = 0; i < n; i++) {
		element.options[i].selected = abego.getOptionsValue(element,i) == value;
	}
}

// Internal.
//
config.macros.formTiddler.setSelectMultipleValue = function(element,value) {
	var values = {};
	for (var i = 0; i < value.length; i++) {
		values[value[i]] = true;
	}
	
	var n = element.length;
	for (var i = 0; i < n; i++) {
		element.options[i].selected = !(!values[abego.getOptionsValue(element,i)]);
	}
}

// Internal.
//
config.macros.formTiddler.getSelectOneValue = function(element) {
	var i = element.selectedIndex;
	return (i >= 0) ? abego.getOptionsValue(element,i) : null;
}

// Internal.
//
config.macros.formTiddler.getSelectMultipleValue = function(element) {
	var values = [];
	var n = element.length;
	for (var i = 0; i < n; i++) {
		if (element.options[i].selected) {
			values.push(abego.getOptionsValue(element,i));
		}
	}
	return values;
}



// -------------------------------------------------------------------------------
// Helpers
// -------------------------------------------------------------------------------

// Internal.
//
config.macros.formTiddler.checkForExtensions = function(place,macroName) {
	if (!version.extensions.DataTiddlerPlugin) {
		config.macros.formTiddler.createErrorElement(place, "<<" + macroName + ">> requires the DataTiddlerPlugin. (You can get it from http://tiddlywiki.abego-software.de/#DataTiddlerPlugin)");
		return false;
	}
	return true;
}

// Internal.
//
// Displays a trace message in the "TiddlyWiki" message pane.
// (used for debugging)
//
config.macros.formTiddler.trace = function(s) {
	displayMessage("Trace: "+s);
}

// Internal.
//
// Display some error message in the "TiddlyWiki" message pane.
//
config.macros.formTiddler.displayFormTiddlerError = function(s) {
	alert("FormTiddlerPlugin Error: "+s);
}

// Internal.
//
// Creates an element that holds an error message
//
config.macros.formTiddler.createErrorElement = function(place, message) {
	return createTiddlyElement(place,"span",null,"formTiddlerError",message);
}

// Internal.
//
// Returns the name of the tiddler containing the given element.
//
config.macros.formTiddler.getContainingTiddlerName = function(element) {
	return story.findContainingTiddler(element).id.substr(7);
}

// -------------------------------------------------------------------------------
// Event Handlers
// -------------------------------------------------------------------------------

// This function must be called by the INPUT elements whenever their
// data changes. Typically this is done through an "onChange" handler.
//
function onFormTiddlerChange (e) {
	// config.macros.formTiddler.trace("onFormTiddlerChange "+e);

	if (!e) var e = window.event;

	var target = resolveTarget(e);
	var tiddlerName = config.macros.formTiddler.getContainingTiddlerName(target);
	var getter = config.macros.formTiddler.getter[target.type];
	if (getter) {
		var value = getter(target);
		DataTiddler.setData(tiddlerName, target.name, value);
	} else {
		config.macros.formTiddler.displayFormTiddlerError("No getter defined for INPUT element of type '"+target.type+"'. (Element '"+target.name+"' used in tiddler '"+tiddlerName+"')");
	}
}

// ensure that the function can be used in HTML event handler
window.onFormTiddlerChange = onFormTiddlerChange;


// -------------------------------------------------------------------------------
// Stylesheet Extensions (may be overridden by local StyleSheet)
// -------------------------------------------------------------------------------

setStylesheet(
	".formTiddlerError{color: #ffffff;background-color: #880000;}",
	"formTiddler");


//============================================================================
// checkForDataTiddlerPlugin Macro
//============================================================================

config.macros.checkForDataTiddlerPlugin = {
	// Standard Properties
	label: "checkForDataTiddlerPlugin",
	version: {major: 1, minor: 0, revision: 0, date: new Date(2005, 12, 14)},
	prompt: "Check if the DataTiddlerPlugin exists"
}

config.macros.checkForDataTiddlerPlugin.handler = function(place,macroName,params) {
	config.macros.formTiddler.checkForExtensions(place, config.macros.formTiddler.label);
}



//============================================================================
// newTiddlerWithForm Macro
//============================================================================

config.macros.newTiddlerWithForm = {
	// Standard Properties
	label: "newTiddlerWithForm",
	version: {major: 1, minor: 0, revision: 1, date: new Date(2006, 1, 6)},
	prompt: "Creates a new Tiddler with a <<formTiddler ...>> macro"
}

config.macros.newTiddlerWithForm.handler = function(place,macroName,params) {
	// --- Parsing ------------------------------------------

	var i = 0; // index running over the params

	// get the name of the form template tiddler
	var formTemplateName = undefined;
	if (i < params.length) {
		formTemplateName = params[i];
		i++;
	}

	if (!formTemplateName) {
		config.macros.formTiddler.createErrorElement(place, "No form template specified in <<" + macroName + ">>.");
		return;
	}

	// get the button label
	var buttonLabel = undefined;
	if (i < params.length) {
		buttonLabel = params[i];
		i++;
	}

	if (!buttonLabel) {
		config.macros.formTiddler.createErrorElement(place, "No button label specified in <<" + macroName + ">>.");
		return;
	}

	// get the (optional) tiddlerName script and "askUser"
	var tiddlerNameScript = undefined;
	var askUser = false;
	if (i < params.length) {
		tiddlerNameScript = params[i];
		i++;

		if (i < params.length && params[i] == "askUser") {
			askUser = true;
			i++;
		}
	}

	// --- Processing ------------------------------------------

	if(!readOnly) {
		var onClick = function() {
			var tiddlerName;
			if (tiddlerNameScript) {
				try {
					tiddlerName = eval(tiddlerNameScript);
				} catch (ex) {
				}
			}
			if (!tiddlerName || askUser) {
				tiddlerName = prompt("Please specify a tiddler name.", askUser ? tiddlerName : "");
			}
			while (tiddlerName && store.getTiddler(tiddlerName)) {
				tiddlerName = prompt("A tiddler named '"+tiddlerName+"' already exists.\n\n"+"Please specify a tiddler name.", tiddlerName);
			}

			// tiddlerName is either null (user canceled) or a name that is not yet in the store.
			if (tiddlerName) {
				var body = "<<formTiddler [["+formTemplateName+"]]>>";
				var tags = [];
				store.saveTiddler(tiddlerName,tiddlerName,body,config.options.txtUserName,new Date(),tags);
				story.displayTiddler(null,tiddlerName,1);
			}
		}

		createTiddlyButton(place,buttonLabel,buttonLabel,onClick);
    }
}

//}}}


/***
!Licence and Copyright
Copyright (c) abego Software ~GmbH, 2005 ([[www.abego-software.de|http://www.abego-software.de]])

Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:

Redistributions of source code must retain the above copyright notice, this
list of conditions and the following disclaimer.

Redistributions in binary form must reproduce the above copyright notice, this
list of conditions and the following disclaimer in the documentation and/or other
materials provided with the distribution.

Neither the name of abego Software nor the names of its contributors may be
used to endorse or promote products derived from this software without specific
prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.
***/
To get started with this blank TiddlyWiki, you'll need to modify the following tiddlers:
* SiteTitle & SiteSubtitle: The title and subtitle of the site, as shown above (after saving, they will also appear in the browser title bar)
* MainMenu: The menu (usually on the left)
* DefaultTiddlers: Contains the names of the tiddlers that you want to appear when the TiddlyWiki is opened
You'll also need to enter your username for signing your edits: <<option txtUserName>>

See also [[MPTW]].
/***
|Name:|HideWhenPlugin|
|Description:|Allows conditional inclusion/exclusion in templates|
|Version:|3.1 ($Rev: 3919 $)|
|Date:|$Date: 2008-03-13 02:03:12 +1000 (Thu, 13 Mar 2008) $|
|Source:|http://mptw.tiddlyspot.com/#HideWhenPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
For use in ViewTemplate and EditTemplate. Example usage:
{{{<div macro="showWhenTagged Task">[[TaskToolbar]]</div>}}}
{{{<div macro="showWhen tiddler.modifier == 'BartSimpson'"><img src="bart.gif"/></div>}}}
***/
//{{{

window.hideWhenLastTest = false;

window.removeElementWhen = function(test,place) {
	window.hideWhenLastTest = test;
	if (test) {
		removeChildren(place);
		place.parentNode.removeChild(place);
	}
};


merge(config.macros,{

	hideWhen: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( eval(paramString), place);
	}},

	showWhen: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !eval(paramString), place);
	}},

	hideWhenTagged: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( tiddler.tags.containsAll(params), place);
	}},

	showWhenTagged: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !tiddler.tags.containsAll(params), place);
	}},

	hideWhenTaggedAny: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( tiddler.tags.containsAny(params), place);
	}},

	showWhenTaggedAny: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !tiddler.tags.containsAny(params), place);
	}},

	hideWhenTaggedAll: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( tiddler.tags.containsAll(params), place);
	}},

	showWhenTaggedAll: { handler: function (place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !tiddler.tags.containsAll(params), place);
	}},

	hideWhenExists: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( store.tiddlerExists(params[0]) || store.isShadowTiddler(params[0]), place);
	}},

	showWhenExists: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !(store.tiddlerExists(params[0]) || store.isShadowTiddler(params[0])), place);
	}},

	hideWhenTitleIs: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( tiddler.title == params[0], place);
	}},

	showWhenTitleIs: { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( tiddler.title != params[0], place);
	}},

	'else': { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
		removeElementWhen( !window.hideWhenLastTest, place);
	}}

});

//}}}

We study the problem described by Voevodsky in his [[1998 ICM address|http://www.mathematik.uni-bielefeld.de/documenta/xvol-icm/00/Voevodsky.MAN.html]] (see Section 7) on ${\mathbb A}^1$-homotopy theory: give an algebro-combinatorial description of ${\mathbb A}^1$-homotopy types.

Natural candidates for the ``algebro-combinatorial" invariants in question are the ${\mathbb A}^1$-[[homotopy (sheaves of) groups|motivichomotopy.html#%5B%5BA%C2%B9-homotopy%20groups%5D%5D%20Overview%20%5B%5BOutlines%20of%20the%20theory%5D%5D%20%5B%5BSurveys%20on%20foundational%20material%5D%5D]] and the closely related ${\mathbb A}^1$[[-homology (sheaves of) groups|motivichomotopy.html#A%C2%B9-homology]], which play the role of homotopy and homology groups in ordinary homotopy theory. The main goals of the papers below are (i) to compute these invariants in various ``fundamental" cases, (ii) to study general techniques for their computation, (iii) to understand the arithmetic meaning of these invariants, and (iv) to use these invariants to study basic ``geometric" questions in algebraic geometry.  Two fundamental problems closely related to Voevodsky's question are:
# Can one distinguish the smooth varieties having a given ${\mathbb A}^1$-homotopy type?
# Which ${\mathbb A}^1$-homotopy types admit smooth varieties as representatives?
The first problem seems tractable as many analogs of basic invariants of [[surgery theory|http://en.wikipedia.org/wiki/Surgery_theory]] are now available in the algebro-geometric setting.  Even for the simplest ${\mathbb A}^1$-homotopy types (e.g., [[motivic spheres|motivichomotopy.html#%5B%5BMotivic%20sphere%5D%5D]]) a complete answer to the second problem isn't known.
/***
|Name:|InstantTimestampPlugin|
|Description:|A handy way to insert timestamps in your tiddler content|
|Version:|1.0.10 ($Rev: 3646 $)|
|Date:|$Date: 2008-02-27 02:34:38 +1000 (Wed, 27 Feb 2008) $|
|Source:|http://mptw.tiddlyspot.com/#InstantTimestampPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
!!Usage
If you enter {ts} in your tiddler content (without the spaces) it will be replaced with a timestamp when you save the tiddler. Full list of formats:
* {ts} or {t} -> timestamp
* {ds} or {d} -> datestamp
* !ts or !t at start of line -> !!timestamp
* !ds or !d at start of line -> !!datestamp
(I added the extra ! since that's how I like it. Remove it from translations below if required)
!!Notes
* Change the timeFormat and dateFormat below to suit your preference.
* See also http://mptw2.tiddlyspot.com/#AutoCorrectPlugin
* You could invent other translations and add them to the translations array below.
***/
//{{{

config.InstantTimestamp = {

	// adjust to suit
	timeFormat: 'DD/0MM/YY 0hh:0mm',
	dateFormat: 'DD/0MM/YY',

	translations: [
		[/^!ts?$/img,  "'!!{{ts{'+now.formatString(config.InstantTimestamp.timeFormat)+'}}}'"],
		[/^!ds?$/img,  "'!!{{ds{'+now.formatString(config.InstantTimestamp.dateFormat)+'}}}'"],

		// thanks Adapted Cat
		[/\{ts?\}(?!\}\})/ig,"'{{ts{'+now.formatString(config.InstantTimestamp.timeFormat)+'}}}'"],
		[/\{ds?\}(?!\}\})/ig,"'{{ds{'+now.formatString(config.InstantTimestamp.dateFormat)+'}}}'"]
		
	],

	excludeTags: [
		"noAutoCorrect",
		"noTimestamp",
		"html",
		"CSS",
		"css",
		"systemConfig",
		"systemConfigDisabled",
		"zsystemConfig",
		"Plugins",
		"Plugin",
		"plugins",
		"plugin",
		"javascript",
		"code",
		"systemTheme",
		"systemPalette"
	],

	excludeTiddlers: [
		"StyleSheet",
		"StyleSheetLayout",
		"StyleSheetColors",
		"StyleSheetPrint"
		// more?
	]

};

TiddlyWiki.prototype.saveTiddler_mptw_instanttimestamp = TiddlyWiki.prototype.saveTiddler;
TiddlyWiki.prototype.saveTiddler = function(title,newTitle,newBody,modifier,modified,tags,fields,clearChangeCount,created) {

	tags = tags ? tags : []; // just in case tags is null
	tags = (typeof(tags) == "string") ? tags.readBracketedList() : tags;
	var conf = config.InstantTimestamp;

	if ( !tags.containsAny(conf.excludeTags) && !conf.excludeTiddlers.contains(newTitle) ) {

		var now = new Date();
		var trans = conf.translations;
		for (var i=0;i<trans.length;i++) {
			newBody = newBody.replace(trans[i][0], eval(trans[i][1]));
		}
	}

	// TODO: use apply() instead of naming all args?
	return this.saveTiddler_mptw_instanttimestamp(title,newTitle,newBody,modifier,modified,tags,fields,clearChangeCount,created);
}

// you can override these in StyleSheet
setStylesheet(".ts,.ds { font-style:italic; }","instantTimestampStyles");

//}}}

/***
|Name:|LessBackupsPlugin|
|Description:|Intelligently limit the number of backup files you create|
|Version:|3.0.1 ($Rev: 2320 $)|
|Date:|$Date: 2007-06-18 22:37:46 +1000 (Mon, 18 Jun 2007) $|
|Source:|http://mptw.tiddlyspot.com/#LessBackupsPlugin|
|Author:|Simon Baird|
|Email:|simon.baird@gmail.com|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
!!Description
You end up with just backup one per year, per month, per weekday, per hour, minute, and second.  So total number won't exceed about 200 or so. Can be reduced by commenting out the seconds/minutes/hours line from modes array
!!Notes
Works in IE and Firefox only.  Algorithm by Daniel Baird. IE specific code by by Saq Imtiaz.
***/
//{{{

var MINS  = 60 * 1000;
var HOURS = 60 * MINS;
var DAYS  = 24 * HOURS;

if (!config.lessBackups) {
	config.lessBackups = {
		// comment out the ones you don't want or set config.lessBackups.modes in your 'tweaks' plugin
		modes: [
			["YYYY",  365*DAYS], // one per year for ever
			["MMM",   31*DAYS],  // one per month
			["ddd",   7*DAYS],   // one per weekday
			//["d0DD",  1*DAYS],   // one per day of month
			["h0hh",  24*HOURS], // one per hour
			["m0mm",  1*HOURS],  // one per minute
			["s0ss",  1*MINS],   // one per second
			["latest",0]         // always keep last version. (leave this).
		]
	};
}

window.getSpecialBackupPath = function(backupPath) {

	var now = new Date();

	var modes = config.lessBackups.modes;

	for (var i=0;i<modes.length;i++) {

		// the filename we will try
		var specialBackupPath = backupPath.replace(/(\.)([0-9]+\.[0-9]+)(\.html)$/,
				'$1'+now.formatString(modes[i][0]).toLowerCase()+'$3')

		// open the file
		try {
			if (config.browser.isIE) {
				var fsobject = new ActiveXObject("Scripting.FileSystemObject")
				var fileExists  = fsobject.FileExists(specialBackupPath);
				if (fileExists) {
					var fileObject = fsobject.GetFile(specialBackupPath);
					var modDate = new Date(fileObject.DateLastModified).valueOf();
				}
			}
			else {
				netscape.security.PrivilegeManager.enablePrivilege("UniversalXPConnect");
				var file = Components.classes["@mozilla.org/file/local;1"].createInstance(Components.interfaces.nsILocalFile);
				file.initWithPath(specialBackupPath);
				var fileExists = file.exists();
				if (fileExists) {
					var modDate = file.lastModifiedTime;
				}
			}
		}
		catch(e) {
			// give up
			return backupPath;
		}

		// expiry is used to tell if it's an 'old' one. Eg, if the month is June and there is a
		// June file on disk that's more than an month old then it must be stale so overwrite
		// note that "latest" should be always written because the expiration period is zero (see above)
		var expiry = new Date(modDate + modes[i][1]);
		if (!fileExists || now > expiry)
			return specialBackupPath;
	}
}

// hijack the core function
window.getBackupPath_mptw_orig = window.getBackupPath;
window.getBackupPath = function(localPath) {
	return getSpecialBackupPath(getBackupPath_mptw_orig(localPath));
}

//}}}

MPTW is a distribution or edition of TiddlyWiki that includes a standard TiddlyWiki core packaged with some plugins designed to improve usability and provide a better way to organise your information. For more information see http://mptw.tiddlyspot.com/.
[[Research]]
[[Teaching]]
[[Events]]
[[Preprints and Publications]]
[[Notes and Lectures]]
[[A¹-homotopy theory|motivichomotopy.html]]
[[Short CV]]
[[Navigation/Help]]
[[Usage|Usage statistics]]


* Additional information: //v. 16 Nov 2011 - HHA 2011 13 (2) pp. 329-335//
* Availability: [[PDF|papers/acyclicv16Nov2011.pdf]], [[Journal|http://dx.doi.org/10.4310/HHA.2011.v13.n2.a20]]
* Abstract: We prove that the Voevodsky motive with ${\mathbb Z}$-coefficients (resp. ${\mathbb Q}$-coefficients) of a ${\mathbb Z}$-acylic (resp. ${\mathbb Q}$-acyclic) smooth complex variety of dimension $\leq 2$ is isomorphic to that of a point, and discuss some related extensions.
* Notes: This document is an extended version of the part of [[A¹-homotopy types and contractible smooth surfaces]] regarding motives of ``topologically contractible varieties."
* co-authors: Jean Fasel
* Additional Information: //Preprint v. 25 Jul 2013;// Comments welcome!
* Availability:  [[ArXiv|http://arxiv.org/abs/1307.6831]],[[PDF|papers/secondarycharacteristicclassesv8July2013.pdf]]
* ''Abstract'': We discuss secondary characteristic classes in motivic cohomology for algebraic vector bundles with trivial top Chern class.  We then show that vanishing of the Chow-Witt theoretic Euler class implies not only vanishing of the top Chern class, but also vanishing of certain secondary characteristic classes in motivic cohomology.
Name: MptwBlack
Background: #000
Foreground: #fff
PrimaryPale: #333
PrimaryLight: #555
PrimaryMid: #888
PrimaryDark: #aaa
SecondaryPale: #111
SecondaryLight: #222
SecondaryMid: #555
SecondaryDark: #888
TertiaryPale: #222
TertiaryLight: #666
TertiaryMid: #888
TertiaryDark: #aaa
Error: #300

This is in progress. Help appreciated.


Name: MptwBlue
Background: #fff
Foreground: #000
PrimaryPale: #cdf
PrimaryLight: #57c
PrimaryMid: #114
PrimaryDark: #012
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88

/***
|Name:|MptwConfigPlugin|
|Description:|Miscellaneous tweaks used by MPTW|
|Version:|1.0 ($Rev: 3646 $)|
|Date:|$Date: 2008-02-27 02:34:38 +1000 (Wed, 27 Feb 2008) $|
|Source:|http://mptw.tiddlyspot.com/#MptwConfigPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#MptwConfigPlugin|
!!Note: instead of editing this you should put overrides in MptwUserConfigPlugin
***/
//{{{
var originalReadOnly = readOnly;
var originalShowBackstage = showBackstage;

config.options.chkHttpReadOnly = false; 		// means web visitors can experiment with your site by clicking edit
readOnly = false;								// needed because the above doesn't work any more post 2.1 (??)
showBackstage = true;							// show backstage for same reason

config.options.chkInsertTabs = true;    		// tab inserts a tab when editing a tiddler
config.views.wikified.defaultText = "";			// don't need message when a tiddler doesn't exist
config.views.editor.defaultText = "";			// don't need message when creating a new tiddler

config.options.chkSaveBackups = true;			// do save backups
config.options.txtBackupFolder = 'twbackup';	// put backups in a backups folder

config.options.chkAutoSave = (window.location.protocol == "file:"); // do autosave if we're in local file

config.mptwVersion = "2.5.1";

config.macros.mptwVersion={handler:function(place){wikify(config.mptwVersion,place);}};

if (config.options.txtTheme == '')
	config.options.txtTheme = 'MptwTheme';

// add to default GettingStarted
config.shadowTiddlers.GettingStarted += "\n\nSee also [[MPTW]].";

// add select theme and palette controls in default OptionsPanel
config.shadowTiddlers.OptionsPanel = config.shadowTiddlers.OptionsPanel.replace(/(\n\-\-\-\-\nAlso see AdvancedOptions)/, "{{select{<<selectTheme>>\n<<selectPalette>>}}}$1");

// these are used by ViewTemplate
config.mptwDateFormat = 'DD/MM/YY';
config.mptwJournalFormat = 'Journal DD/MM/YY';

//}}}
Name: MptwGreen
Background: #fff
Foreground: #000
PrimaryPale: #9b9
PrimaryLight: #385
PrimaryMid: #031
PrimaryDark: #020
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88

Name: MptwRed
Background: #fff
Foreground: #000
PrimaryPale: #eaa
PrimaryLight: #c55
PrimaryMid: #711
PrimaryDark: #500
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88

|Name|MptwRounded|
|Description|Mptw Theme with some rounded corners (Firefox only)|
|ViewTemplate|MptwTheme##ViewTemplate|
|EditTemplate|MptwTheme##EditTemplate|
|PageTemplate|MptwTheme##PageTemplate|
|StyleSheet|##StyleSheet|

!StyleSheet
/*{{{*/

[[MptwTheme##StyleSheet]]

.tiddler,
.sliderPanel,
.button,
.tiddlyLink,
.tabContents
{ -moz-border-radius: 1em; }

.tab {
	-moz-border-radius-topleft: 0.5em;
	-moz-border-radius-topright: 0.5em;
}
#topMenu {
	-moz-border-radius-bottomleft: 2em;
	-moz-border-radius-bottomright: 2em;
}

/*}}}*/

Name: MptwSmoke
Background: #fff
Foreground: #000
PrimaryPale: #aaa
PrimaryLight: #777
PrimaryMid: #111
PrimaryDark: #0ff
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #eee
TertiaryLight: #ccc
TertiaryMid: #999
TertiaryDark: #666
Error: #f88

|Name|MptwStandard|
|Description|Mptw Theme with the default TiddlyWiki PageLayout and Styles|
|ViewTemplate|MptwTheme##ViewTemplate|
|EditTemplate|MptwTheme##EditTemplate|
Name: MptwTeal
Background: #fff
Foreground: #000
PrimaryPale: #B5D1DF
PrimaryLight: #618FA9
PrimaryMid: #1a3844
PrimaryDark: #000
SecondaryPale: #ffc
SecondaryLight: #fe8
SecondaryMid: #db4
SecondaryDark: #841
TertiaryPale: #f8f8f8
TertiaryLight: #bbb
TertiaryMid: #999
TertiaryDark: #888
Error: #f88
|Name|MptwTheme|
|Description|Mptw Theme including custom PageLayout|
|PageTemplate|##PageTemplate|
|ViewTemplate|##ViewTemplate|
|EditTemplate|##EditTemplate|
|StyleSheet|##StyleSheet|

http://mptw.tiddlyspot.com/#MptwTheme ($Rev: 1829 $)

!PageTemplate
<!--{{{-->
<div class='header' macro='gradient vert [[ColorPalette::PrimaryLight]] [[ColorPalette::PrimaryMid]]'>
	<div class='headerShadow'>
		<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;
		<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
	</div>
	<div class='headerForeground'>
		<span class='siteTitle' refresh='content' tiddler='SiteTitle'></span>&nbsp;
		<span class='siteSubtitle' refresh='content' tiddler='SiteSubtitle'></span>
	</div>
</div>
<!-- horizontal MainMenu -->
<div id='topMenu' refresh='content' tiddler='MainMenu'></div>
<!-- original MainMenu menu -->
<!-- <div id='mainMenu' refresh='content' tiddler='MainMenu'></div> -->
<div id='sidebar'>
	<div id='sidebarOptions' refresh='content' tiddler='SideBarOptions'></div>
	<div id='sidebarTabs' refresh='content' force='true' tiddler='SideBarTabs'></div>
</div>
<div id='displayArea'>
	<div id='messageArea'></div>
	<div id='tiddlerDisplay'></div>
</div>
<!--}}}-->

!ViewTemplate
<!--{{{-->
[[MptwTheme##ViewTemplateToolbar]]

<div class="tagglyTagged" macro="tags"></div>

<div class='titleContainer'>
	<span class='title' macro='view title'></span>
	<span macro="miniTag"></span>
</div>

<div class='subtitle'>
	(updated <span macro='view modified date {{config.mptwDateFormat?config.mptwDateFormat:"MM/0DD/YY"}}'></span>
	by <span macro='view modifier link'></span>)
	<!--
	(<span macro='message views.wikified.createdPrompt'></span>
	<span macro='view created date {{config.mptwDateFormat?config.mptwDateFormat:"MM/0DD/YY"}}'></span>)
	-->
</div>

<div macro="showWhen tiddler.tags.containsAny(['css','html','pre','systemConfig']) && !tiddler.text.match('{{'+'{')">
	<div class='viewer'><pre macro='view text'></pre></div>
</div>
<div macro="else">
	<div class='viewer' macro='view text wikified'></div>
</div>

<div class="tagglyTagging" macro="tagglyTagging"></div>

<!--}}}-->

!ViewTemplateToolbar
<!--{{{-->
<div class='toolbar'>
	<span macro="showWhenTagged systemConfig">
		<span macro="toggleTag systemConfigDisable . '[[disable|systemConfigDisable]]'"></span>
	</span>
	<span macro="showWhenTagged systemTheme"><span macro="applyTheme"></span></span>
	<span macro="showWhenTagged systemPalette"><span macro="applyPalette"></span></span>
	<span macro="showWhen tiddler.tags.contains('css') || tiddler.title == 'StyleSheet'"><span macro="refreshAll"></span></span>
	<span style="padding:1em;"></span>
	<span macro='toolbar closeTiddler closeOthers +editTiddler deleteTiddler > fields syncing permalink references jump'></span> <span macro='newHere label:"new here"'></span>
	<span macro='newJournalHere {{config.mptwJournalFormat?config.mptwJournalFormat:"MM/0DD/YY"}}'></span>
</div>
<!--}}}-->

!EditTemplate
<!--{{{-->
<div class="toolbar" macro="toolbar +saveTiddler saveCloseTiddler closeOthers -cancelTiddler cancelCloseTiddler deleteTiddler"></div>
<div class="title" macro="view title"></div>
<div class="editLabel">Title</div><div class="editor" macro="edit title"></div>
<div macro='annotations'></div>
<div class="editLabel">Content</div><div class="editor" macro="edit text"></div>
<div class="editLabel">Tags</div><div class="editor" macro="edit tags"></div>
<div class="editorFooter"><span macro="message views.editor.tagPrompt"></span><span macro="tagChooser"></span></div>
<!--}}}-->

!StyleSheet
/*{{{*/

/* a contrasting background so I can see where one tiddler ends and the other begins */
body {
	background: [[ColorPalette::TertiaryLight]];
}

/* sexy colours and font for the header */
.headerForeground {
	color: [[ColorPalette::PrimaryPale]];
}
.headerShadow, .headerShadow a {
	color: [[ColorPalette::PrimaryMid]];
}

/* separate the top menu parts */
.headerForeground, .headerShadow {
	padding: 1em 1em 0;
}

.headerForeground, .headerShadow {
	font-family: 'Trebuchet MS' sans-serif;
	font-weight:bold;
}
.headerForeground .siteSubtitle {
	color: [[ColorPalette::PrimaryLight]];
}
.headerShadow .siteSubtitle {
	color: [[ColorPalette::PrimaryMid]];
}

/* make shadow go and down right instead of up and left */
.headerShadow {
	left: 1px;
	top: 1px;
}

/* prefer monospace for editing */
.editor textarea, .editor input {
	font-family: 'Consolas' monospace;
	background-color:[[ColorPalette::TertiaryPale]];
}


/* sexy tiddler titles */
.title {
	font-size: 250%;
	color: [[ColorPalette::PrimaryLight]];
	font-family: 'Trebuchet MS' sans-serif;
}

/* more subtle tiddler subtitle */
.subtitle {
	padding:0px;
	margin:0px;
	padding-left:1em;
	font-size: 90%;
	color: [[ColorPalette::TertiaryMid]];
}
.subtitle .tiddlyLink {
	color: [[ColorPalette::TertiaryMid]];
}

/* a little bit of extra whitespace */
.viewer {
	padding-bottom:3px;
}

/* don't want any background color for headings */
h1,h2,h3,h4,h5,h6 {
	background-color: transparent;
	color: [[ColorPalette::Foreground]];
}

/* give tiddlers 3d style border and explicit background */
.tiddler {
	background: [[ColorPalette::Background]];
	border-right: 2px [[ColorPalette::TertiaryMid]] solid;
	border-bottom: 2px [[ColorPalette::TertiaryMid]] solid;
	margin-bottom: 1em;
	padding:1em 2em 2em 1.5em;
}

/* make options slider look nicer */
#sidebarOptions .sliderPanel {
	border:solid 1px [[ColorPalette::PrimaryLight]];
}

/* the borders look wrong with the body background */
#sidebar .button {
	border-style: none;
}

/* this means you can put line breaks in SidebarOptions for readability */
#sidebarOptions br {
	display:none;
}
/* undo the above in OptionsPanel */
#sidebarOptions .sliderPanel br {
	display:inline;
}

/* horizontal main menu stuff */
#displayArea {
	margin: 1em 15.7em 0em 1em; /* use the freed up space */
}
#topMenu br {
	display: none;
}
#topMenu {
	background: [[ColorPalette::PrimaryMid]];
	color:[[ColorPalette::PrimaryPale]];
}
#topMenu {
	padding:2px;
}
#topMenu .button, #topMenu .tiddlyLink, #topMenu a {
	margin-left: 0.5em;
	margin-right: 0.5em;
	padding-left: 3px;
	padding-right: 3px;
	color: [[ColorPalette::PrimaryPale]];
	font-size: 115%;
}
#topMenu .button:hover, #topMenu .tiddlyLink:hover {
	background: [[ColorPalette::PrimaryDark]];
}

/* make 2.2 act like 2.1 with the invisible buttons */
.toolbar {
	visibility:hidden;
}
.selected .toolbar {
	visibility:visible;
}

/* experimental. this is a little borked in IE7 with the button
 * borders but worth it I think for the extra screen realestate */
.toolbar { float:right; }

/* fix for TaggerPlugin. from sb56637. improved by FND */
.popup li .tagger a {
   display:inline;
}

/* makes theme selector look a little better */
#sidebarOptions .sliderPanel .select .button {
  padding:0.5em;
  display:block;
}
#sidebarOptions .sliderPanel .select br {
	display:none;
}

/* make it print a little cleaner */
@media print {
	#topMenu {
		display: none ! important;
	}
	/* not sure if we need all the importants */
	.tiddler {
		border-style: none ! important;
		margin:0px ! important;
		padding:0px ! important;
		padding-bottom:2em ! important;
	}
	.tagglyTagging .button, .tagglyTagging .hidebutton {
		display: none ! important;
	}
	.headerShadow {
		visibility: hidden ! important;
	}
	.tagglyTagged .quickopentag, .tagged .quickopentag {
		border-style: none ! important;
	}
	.quickopentag a.button, .miniTag {
		display: none ! important;
	}
}

/* get user styles specified in StyleSheet */
[[StyleSheet]]

/*}}}*/

|Name|MptwTrim|
|Description|Mptw Theme with a reduced header to increase useful space|
|ViewTemplate|MptwTheme##ViewTemplate|
|EditTemplate|MptwTheme##EditTemplate|
|StyleSheet|MptwTheme##StyleSheet|
|PageTemplate|##PageTemplate|

!PageTemplate
<!--{{{-->

<!-- horizontal MainMenu -->
<div id='topMenu' macro='gradient vert [[ColorPalette::PrimaryLight]] [[ColorPalette::PrimaryMid]]'>
<span refresh='content' tiddler='SiteTitle' style="padding-left:1em;font-weight:bold;"></span>:
<span refresh='content' tiddler='MainMenu'></span>
</div>
<div id='sidebar'>
	<div id='sidebarOptions'>
		<div refresh='content' tiddler='SideBarOptions'></div>
		<div style="margin-left:0.1em;"
			macro='slider chkTabSliderPanel SideBarTabs {{"tabs \u00bb"}} "Show Timeline, All, Tags, etc"'></div>
	</div>
</div>
<div id='displayArea'>
	<div id='messageArea'></div>
	<div id='tiddlerDisplay'></div>
</div>

For upgrading. See [[ImportTiddlers]].
URL: http://mptw.tiddlyspot.com/upgrade.html
/***
|Description:|A place to put your config tweaks so they aren't overwritten when you upgrade MPTW|
See http://www.tiddlywiki.org/wiki/Configuration_Options for other options you can set. In some cases where there are clashes with other plugins it might help to rename this to zzMptwUserConfigPlugin so it gets executed last.
***/
//{{{

// example: set your preferred date format
//config.mptwDateFormat = 'MM/0DD/YY';
//config.mptwJournalFormat = 'Journal MM/0DD/YY';

// example: set the theme you want to start with
//config.options.txtTheme = 'MptwRoundTheme';

// example: switch off autosave, switch on backups and set a backup folder
//config.options.chkSaveBackups = true;
//config.options.chkAutoSave = false;
//config.options.txtBackupFolder = 'backups';

//}}}
!!! Instructions for how to use this document offline
* To use this document offline, you need jsMath and jsMath fonts.
** You can download jsMath [[here|http://sourceforge.net/projects/jsmath/files/]] and the fonts on the same page (scroll down).
* Save this webpage in a directory of your choice.
* Copy the jsMath files to this directory.
* Unzip jsMath.
* Unzip the fonts; make sure they appear inside the directory jsMath.

!!! Some hints on navigating a [[Tiddlywiki|http://www.tiddlywiki.com]]:
* Internal links are called [[Wikiwords]] and the target of the link (i.e., the actual text) is called the [[Wikientry]].
** They appear in boldface (e.g., [[Overview]])
** Clicking on a topic in the main menu (on the left hand side of the screen) opens it at the top of the screen.
** Clicking on a single Wikiword in the body of the text opens it immediately below the currently open Wikientry.
** Clicking on a Tag gives a pop-up menu of all Wikiwords marked with that tag.  If you click on ``Open All" the resulting Wikientries are opened in sequence below the currently open wikientry.
* External links, which appear underlined (e.g., [[Tiddlywiki|http://www.tiddlywiki.com]]) are opened in new Tabs
* Below the title bar is a [[history|BreadCrumbsPlugin]] of Wikientries that you've visited (for convenient navigation).
* Certain pages have additional ''Back'', ''Up,'' and ''Forward'' buttons that close all Wikientries except for the target of the link.

!!! Some notes on how to work with [[LaTeX|http://www.latex-project.org/]] in TiddlyWiki
There are two flavors of [[LaTeX|http://www.latex-project.org/]] support that have been implemented in this Tiddlywiki.  First, and most simply, the [[jsMath plugin|http://bob.mcelrath.org/tiddlyjsmath-2.0.3.html]] (see [[here|Plugin: jsMath]] for the actual plugin) developed by [[Bob McElrath|http://bob.mcelrath.org/]] is used.  Some fonts aren't rendered properly using this method.  See [[here|http://www.math.union.edu/~dpvc/jsMath/examples/]] for some examples of how to use jsMath.

Second, [[LaTeX|http://www.latex-project.org/]] can be imported into Tiddlywiki using the [[LaTeXRender|http://forum.yourequations.com/]] plugin (which is the same technology used in wordpress).  Here is a sample of the syntax.
{{{
<html> $ $ your_latex $ $ </html>
}}}
though you'll have to remove the spaces.  For more details about functionality (e.g., changing font size, etc.) go to the [[LaTeXRender|http://forum.yourequations.com/]] support pages.  Because of font and functionality issues (arrows are sometimes displayed poorly, certain functions are not implemented), this option is sometimes nicer than the corresponding LaTeX plugin.

!!! Some added functionality
Other plugins used here have been downloded from [[Abego Extensions|http://tiddlywiki.abego-software.de/]].  These include
* [[YourSearchPlugin]], which provides enhanced search capabilities, and
* [[PartTiddlerPlugin]], which provides various features including the ability to link to fragment of an existing tiddler (rather than the whole tiddler).

!!! Tutorials etc.
Here is a [[link|http://www.giffmex.org/twfortherestofus.html]] to another TiddlyWiki tutorial.  
/***
|Name:|NewHerePlugin|
|Description:|Creates the new here and new journal macros|
|Version:|3.0 ($Rev: 3861 $)|
|Date:|$Date: 2008-03-08 10:53:09 +1000 (Sat, 08 Mar 2008) $|
|Source:|http://mptw.tiddlyspot.com/#NewHerePlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
//{{{
merge(config.macros, {
	newHere: {
		handler: function(place,macroName,params,wikifier,paramString,tiddler) {
			wikify("<<newTiddler "+paramString+" tag:[["+tiddler.title+"]]>>",place,null,tiddler);
		}
	},
	newJournalHere: {
		handler: function(place,macroName,params,wikifier,paramString,tiddler) {
			wikify("<<newJournal "+paramString+" tag:[["+tiddler.title+"]]>>",place,null,tiddler);
		}
	}
});

//}}}

/***
|Name:|NewMeansNewPlugin|
|Description:|If 'New Tiddler' already exists then create 'New Tiddler (1)' and so on|
|Version:|1.1 ($Rev: 2263 $)|
|Date:|$Date: 2007-06-13 04:22:32 +1000 (Wed, 13 Jun 2007) $|
|Source:|http://mptw.tiddlyspot.com/empty.html#NewMeansNewPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License|http://mptw.tiddlyspot.com/#TheBSDLicense|
!!Note: I think this should be in the core
***/
//{{{

String.prototype.getNextFreeName = function() {
       var numberRegExp = / \(([0-9]+)\)$/;
       var match = numberRegExp.exec(this);
       if (match) {
               var num = parseInt(match[1]) + 1;
               return this.replace(numberRegExp," ("+num+")");
       }
       else {
               return this + " (1)";
       }
}

config.macros.newTiddler.checkForUnsaved = function(newName) {
	var r = false;
	story.forEachTiddler(function(title,element) {
		if (title == newName)
			r = true;
	});
	return r;
}

config.macros.newTiddler.getName = function(newName) {
       while (store.getTiddler(newName) || config.macros.newTiddler.checkForUnsaved(newName))
               newName = newName.getNextFreeName();
       return newName;
}


config.macros.newTiddler.onClickNewTiddler = function()
{
	var title = this.getAttribute("newTitle");
	if(this.getAttribute("isJournal") == "true") {
		var now = new Date();
		title = now.formatString(title.trim());
	}

	title = config.macros.newTiddler.getName(title); // <--- only changed bit

	var params = this.getAttribute("params");
	var tags = params ? params.split("|") : [];
	var focus = this.getAttribute("newFocus");
	var template = this.getAttribute("newTemplate");
	var customFields = this.getAttribute("customFields");
	story.displayTiddler(null,title,template,false,null,null);
	var tiddlerElem = document.getElementById(story.idPrefix + title);
	if(customFields)
		story.addCustomFields(tiddlerElem,customFields);
	var text = this.getAttribute("newText");
	if(typeof text == "string")
		story.getTiddlerField(title,"text").value = text.format([title]);
	for(var t=0;t<tags.length;t++)
		story.setTiddlerTag(title,tags[t],+1);
	story.focusTiddler(title,focus);
	return false;
};

//}}}

!Lecture Notes
* __ ${\mathbb A}^1$-contractibility and topological contractibility__ - ([[.PDF|notes/OttawaLectures.pdf]]); Notes for lectures at the Fields Institute workshop entitled ``Group actions, generalized cohomology theories and affine algebraic geometry" at U. Ottawa

!Notes for talks
Here are some informal notes (transparencies/beamer presentations) for some talks I've given.
* __Rational connectivity and ${\mathbb A}^1$-connectivity__ - 11th NRW Topology Seminar Talk, 5/8/09 ([[.PDF|papers/BielefeldTalk.pdf]])
* __In what sense are algebraic varieties like manifolds?__ - USC Colloqium, 1/20/09, ([[.PDF|papers/USCTransparencies.pdf]])
* __A ``homotopic" view of affine lines on varieties__ - UCLA Colloqium, 1/31/08, ([[.PDF|papers/UCLATransparencies.pdf]])
* __Unipotent groups and some ${\mathbb A}^1$-contractible smooth schemes__ - U Chicago Alg. Geom Sem, 3/7/07 ([[.PDF|papers/UChicagotransparencies.pdf]])

!Other notes
Here are some personal notes on topics related to ${\mathbb A}^1$-homotopy theory.  Mainly, the topics are chosen from results that I have used whose proofs are either ``unclear" to me (e.g., the structure of the proof is difficult, variants of the result are needed), or ``difficult to find" (e.g., not available easily online, or omitted from basic references).  These notes are incomplete, idiosyncratic, and mistakes may exist!  If references are lacking, or you find a mistake, please let me know; I apologize in advance for such complications.  The notes are subject to change without notice.  Of course, comments, corrections, and suggestions are welcome and greatly appreciated!
* __The Jouanolou$$-Thomason homotopy lemma__ - v. 9 Feb 09; [[.DVI|notes/Jouanolou.dvi]],[[.PDF|notes/Jouanolou.pdf]]
* __The unstable ${\mathbb A}^1$-$0$-connectivity theorem__ - v. 10 Feb 09; [[.DVI|notes/Unstable0connectivitytheorem.dvi]],[[.PDF|notes/Unstable0connectivitytheorem.pdf]]
* __Functoriality in ${\mathbb A}^1$-homotopy theory I: change of topologies__ - v. 9 Feb 09; [[.DVI|notes/FunctorialityI.dvi]],[[.PDF|notes/FunctorialityI.pdf]]
* __The Thom isomorphism theorem__ - v. 13 Feb 09; [[.DVI|notes/ThomIsomorphism.dvi]],[[.PDF|notes/ThomIsomorphism.pdf]]
* __Gabber's geometric presentation theorem (statement)__ - v. 18 Feb 09; [[.DVI|notes/GabberPresentation.dvi]],[[.PDF|notes/GabberPresentation.pdf]]
* __The unstable ${\mathbb A}^1$-$n$-connectivity theorem__ - v. 1 Apr 09; [[.DVI|notes/Unstablehigherconnectivity.dvi]],[[.PDF|notes/Unstablehigherconnectivity.pdf]]
* co-author(s): Brent Doran
* Additional Information: //v. 05 Mar 2007 - International Mathematics Research Papers 2007 V.2 Art. ID rpm005, 51 pages//
* Availability: [[ArXiv|http://arxiv.org/abs/math/0703137]],[[DVI|papers/exoticaffinesFinal.dvi]],[[PDF|papers/exoticaffinesFinal.pdf]],[[Journal|http://imrp.oxfordjournals.org/content/2007/rpm005.abstract]],[[MathSciNet|http://www.ams.org/mathscinet/search/publdoc.html?arg3=&co4=AND&co5=AND&co6=AND&co7=AND&dr=all&pg4=AUCN&pg5=TI&pg6=PC&pg7=ALLF&pg8=ET&s4=Asok&s5=&s6=&s7=&s8=All&yearRangeFirst=&yearRangeSecond=&yrop=eq&r=1&mx-pid=2335246]]
* ''Abstract'': We study quotients of quasi-affine schemes by unipotent groups over fields of characteristic 0. To do this, we introduce a notion of stability which allows us to characterize exactly when a principal bundle quotient exists and, together with a cohomological vanishing criterion, to characterize whether or not the resulting quasi-affine quotient scheme is affine. We completely analyze the case of ${\mathbb G}_{{\bf a}}$-invariant hypersurfaces in a linear ${\mathbb G}_{{\bf a}}$-representation $W$; here the above characterizations admit simple geometric and algebraic interpretations. As an application, we produce arbitrary dimensional families of non-isomorphic smooth quasi-affine but not affine $n$-dimensional varieties $n \geq 6$ that are contractible in the sense of ${\mathbb A}^1$[[-homotopy theory|motivichomotopy.html#%5B%5BUnstable%20A%C2%B9-homotopy%20theory%5D%5D]]. Indeed, existence follows without any computation; yet explicit defining equations for the varieties depend only on knowing some linear ${\mathbb G}_{{\bf a}}$- and $SL_2$- invariants, which, for a sufficiently large class, we provide. Similarly, we produce infinitely many non-isomorphic examples in dimensions 4 and 5. Over ${\mathbb C}$, the analytic spaces underlying these varieties are non-isomorphic, non-Stein, topologically contractible and often diffeomorphic to ${\mathbb C}^n$.
/***
|<html><a name="Top"/></html>''Name:''|PartTiddlerPlugin|
|''Version:''|1.0.9 (2007-07-14)|
|''Source:''|http://tiddlywiki.abego-software.de/#PartTiddlerPlugin|
|''Author:''|UdoBorkowski (ub [at] abego-software [dot] de)|
|''Licence:''|[[BSD open source license]]|
|''CoreVersion:''|2.1.3|
|''Browser:''|Firefox 1.0.4+; InternetExplorer 6.0|
!Table of Content<html><a name="TOC"/></html>
* <html><a href="javascript:;" onclick="window.scrollAnchorVisible('Description',null, event)">Description, Syntax</a></html>
* <html><a href="javascript:;" onclick="window.scrollAnchorVisible('Applications',null, event)">Applications</a></html>
** <html><a href="javascript:;" onclick="window.scrollAnchorVisible('LongTiddler',null, event)">Refering to Paragraphs of a Longer Tiddler</a></html>
** <html><a href="javascript:;" onclick="window.scrollAnchorVisible('Citation',null, event)">Citation Index</a></html>
** <html><a href="javascript:;" onclick="window.scrollAnchorVisible('TableCells',null, event)">Creating "multi-line" Table Cells</a></html>
** <html><a href="javascript:;" onclick="window.scrollAnchorVisible('Tabs',null, event)">Creating Tabs</a></html>
** <html><a href="javascript:;" onclick="window.scrollAnchorVisible('Sliders',null, event)">Using Sliders</a></html>
* <html><a href="javascript:;" onclick="window.scrollAnchorVisible('Revisions',null, event)">Revision History</a></html>
* <html><a href="javascript:;" onclick="window.scrollAnchorVisible('Code',null, event)">Code</a></html>
!Description<html><a name="Description"/></html>
With the {{{<part aPartName> ... </part>}}} feature you can structure your tiddler text into separate (named) parts.
Each part can be referenced as a "normal" tiddler, using the "//tiddlerName//''/''//partName//" syntax (e.g. "About/Features").  E.g. you may create links to the parts (e.g. {{{[[Quotes/BAX95]]}}} or {{{[[Hobbies|AboutMe/Hobbies]]}}}), use it in {{{<<tiddler...>>}}} or {{{<<tabs...>>}}} macros etc.


''Syntax:''
|>|''<part'' //partName// [''hidden''] ''>'' //any tiddler content// ''</part>''|
|//partName//|The name of the part. You may reference a part tiddler with the combined tiddler name "//nameOfContainerTidder//''/''//partName//. <<br>>If you use a partName containing spaces you need to quote it (e.g. {{{"Major Overview"}}} or {{{[[Shortcut List]]}}}).|
|''hidden''|When defined the content of the part is not displayed in the container tiddler. But when the part is explicitly referenced (e.g. in a {{{<<tiddler...>>}}} macro or in a link) the part's content is displayed.|
|<html><i>any&nbsp;tiddler&nbsp;content</i></html>|<html>The content of the part.<br>A part can have any content that a "normal" tiddler may have, e.g. you may use all the formattings and macros defined.</html>|
|>|~~Syntax formatting: Keywords in ''bold'', optional parts in [...]. 'or' means that exactly one of the two alternatives must exist.~~|
<html><sub><a href="javascript:;" onclick="window.scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>

!Applications<html><a name="Applications"/></html>
!!Refering to Paragraphs of a Longer Tiddler<html><a name="LongTiddler"/></html>
Assume you have written a long description in a tiddler and now you want to refer to the content of a certain paragraph in that tiddler (e.g. some definition.) Just wrap the text with a ''part'' block, give it a nice name, create a "pretty link" (like {{{[[Discussion Groups|Introduction/DiscussionGroups]]}}}) and you are done.

Notice this complements the approach to first writing a lot of small tiddlers and combine these tiddlers to one larger tiddler in a second step (e.g. using the {{{<<tiddler...>>}}} macro). Using the ''part'' feature you can first write a "classic" (longer) text that can be read "from top to bottom" and later "reuse" parts of this text for some more "non-linear" reading.

<html><sub><a href="javascript:;" onclick="window.scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>

!!Citation Index<html><a name="Citation"/></html>
Create a tiddler "Citations" that contains your "citations".
Wrap every citation with a part and a proper name.

''Example''
{{{
<part BAX98>Baxter, Ira D. et al: //Clone Detection Using Abstract Syntax Trees.//
in //Proc. ICSM//, 1998.</part>

<part BEL02>Bellon, Stefan: //Vergleich von Techniken zur Erkennung duplizierten Quellcodes.//
Thesis, Uni Stuttgart, 2002.</part>

<part DUC99>Ducasse, Stéfane et al: //A Language Independent Approach for Detecting Duplicated Code.//
in //Proc. ICSM//, 1999.</part>
}}}

You may now "cite" them just by using a pretty link like {{{[[Citations/BAX98]]}}} or even more pretty, like this {{{[[BAX98|Citations/BAX98]]}}}.

<html><sub><a href="javascript:;" onclick="window.scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>

!!Creating "multi-line" Table Cells<html><a name="TableCells"/></html>
You may have noticed that it is hard to create table cells with "multi-line" content. E.g. if you want to create a bullet list inside a table cell you cannot just write the bullet list
{{{
* Item 1
* Item 2
* Item 3
}}}
into a table cell (i.e. between the | ... | bars) because every bullet item must start in a new line but all cells of a table row must be in one line.

Using the ''part'' feature this problem can be solved. Just create a hidden part that contains the cells content and use a {{{<<tiddler >>}}} macro to include its content in the table's cell.

''Example''
{{{
|!Subject|!Items|
|subject1|<<tiddler ./Cell1>>|
|subject2|<<tiddler ./Cell2>>|

<part Cell1 hidden>
* Item 1
* Item 2
* Item 3
</part>
...
}}}

Notice that inside the {{{<<tiddler ...>>}}} macro you may refer to the "current tiddler" using the ".".

BTW: The same approach can be used to create bullet lists with items that contain more than one line.

<html><sub><a href="javascript:;" onclick="window.scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>

!!Creating Tabs<html><a name="Tabs"/></html>
The build-in {{{<<tabs ...>>}}} macro requires that you defined an additional tiddler for every tab it displays. When you want to have "nested" tabs you need to define a tiddler for the "main tab" and one for every tab it contains. I.e. the definition of a set of tabs that is visually displayed at one place is distributed across multiple tiddlers.

With the ''part'' feature you can put the complete definition in one tiddler, making it easier to keep an overview and maintain the tab sets.

''Example''
The standard tabs at the sidebar are defined by the following eight tiddlers:
* SideBarTabs
* TabAll
* TabMore
* TabMoreMissing
* TabMoreOrphans
* TabMoreShadowed
* TabTags
* TabTimeline

Instead of these eight tiddlers one could define the following SideBarTabs tiddler that uses the ''part'' feature:
{{{
<<tabs txtMainTab
    Timeline Timeline SideBarTabs/Timeline
    All 'All tiddlers' SideBarTabs/All
    Tags 'All tags' SideBarTabs/Tags
    More 'More lists' SideBarTabs/More>>
<part Timeline hidden><<timeline>></part>
<part All hidden><<list all>></part>
<part Tags hidden><<allTags>></part>
<part More hidden><<tabs txtMoreTab
    Missing 'Missing tiddlers' SideBarTabs/Missing
    Orphans 'Orphaned tiddlers' SideBarTabs/Orphans
    Shadowed 'Shadowed tiddlers' SideBarTabs/Shadowed>></part>
<part Missing hidden><<list missing>></part>
<part Orphans hidden><<list orphans>></part>
<part Shadowed hidden><<list shadowed>></part>
}}}

Notice that you can easily "overwrite" individual parts in separate tiddlers that have the full name of the part.

E.g. if you don't like the classic timeline tab but only want to see the 100 most recent tiddlers you could create a tiddler "~SideBarTabs/Timeline" with the following content:
{{{
<<forEachTiddler
		sortBy 'tiddler.modified' descending
		write '(index < 100) ? "* [["+tiddler.title+"]]\n":""'>>
}}}
<html><sub><a href="javascript:;" onclick="window.scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>

!!Using Sliders<html><a name="Sliders"/></html>
Very similar to the build-in {{{<<tabs ...>>}}} macro (see above) the {{{<<slider ...>>}}} macro requires that you defined an additional tiddler that holds the content "to be slid". You can avoid creating this extra tiddler by using the ''part'' feature

''Example''
In a tiddler "About" we may use the slider to show some details that are documented in the tiddler's "Details" part.
{{{
...
<<slider chkAboutDetails About/Details details "Click here to see more details">>
<part Details hidden>
To give you a better overview ...
</part>
...
}}}

Notice that putting the content of the slider into the slider's tiddler also has an extra benefit: When you decide you need to edit the content of the slider you can just doubleclick the content, the tiddler opens for editing and you can directly start editing the content (in the part section). In the "old" approach you would doubleclick the tiddler, see that the slider is using tiddler X, have to look for the tiddler X and can finally open it for editing. So using the ''part'' approach results in a much short workflow.

<html><sub><a href="javascript:;" onclick="window.scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>

!Revision history<html><a name="Revisions"/></html>
* v1.0.9 (2007-07-14)
** Bugfix: Error when using the SideBarTabs example and switching between "More" and "Shadow". Thanks to cmari for reporting the issue.
* v1.0.8 (2007-06-16)
** Speeding up display of tiddlers containing multiple pard definitions. Thanks to Paco Rivière for reporting the issue.
** Support "./partName" syntax inside <<tabs ...>> macro
* v1.0.7 (2007-03-07)
** Bugfix: <<tiddler "./partName">> does not always render correctly after a refresh (e.g. like it happens when using the "Include" plugin). Thanks to Morris Gray for reporting the bug.
* v1.0.6 (2006-11-07)
** Bugfix: cannot edit tiddler when UploadPlugin by Bidix is installed. Thanks to José Luis González Castro for reporting the bug.
* v1.0.5 (2006-03-02)
** Bugfix: Example with multi-line table cells does not work in IE6. Thanks to Paulo Soares for reporting the bug.
* v1.0.4 (2006-02-28)
** Bugfix: Shadow tiddlers cannot be edited (in TW 2.0.6). Thanks to Torsten Vanek for reporting the bug.
* v1.0.3 (2006-02-26)
** Adapt code to newly introduced Tiddler.prototype.isReadOnly() function (in TW 2.0.6). Thanks to Paulo Soares for reporting the problem.
* v1.0.2 (2006-02-05)
** Also allow other macros than the "tiddler" macro use the "." in the part reference (to refer to "this" tiddler)
* v1.0.1 (2006-01-27)
** Added Table of Content for plugin documentation. Thanks to RichCarrillo for suggesting.
** Bugfix: newReminder plugin does not work when PartTiddler is installed. Thanks to PauloSoares for reporting.
* v1.0.0 (2006-01-25)
** initial version
<html><sub><a href="javascript:;" onclick="window.scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>

!Code<html><a name="Code"/></html>
<html><sub><a href="javascript:;" onclick="window.scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>
***/
//{{{
//============================================================================
//                           PartTiddlerPlugin

// Ensure that the PartTiddler Plugin is only installed once.
//
if (!version.extensions.PartTiddlerPlugin) {



version.extensions.PartTiddlerPlugin = {
    major: 1, minor: 0, revision: 9,
    date: new Date(2007, 6, 14),
    type: 'plugin',
    source: "http://tiddlywiki.abego-software.de/#PartTiddlerPlugin"
};

if (!window.abego) window.abego = {};
if (version.major < 2) alertAndThrow("PartTiddlerPlugin requires TiddlyWiki 2.0 or newer.");

//============================================================================
// Common Helpers

// Looks for the next newline, starting at the index-th char of text.
//
// If there are only whitespaces between index and the newline
// the index behind the newline is returned,
// otherwise (or when no newline is found) index is returned.
//
var skipEmptyEndOfLine = function(text, index) {
	var re = /(\n|[^\s])/g;
	re.lastIndex = index;
	var result = re.exec(text);
	return (result && text.charAt(result.index) == '\n')
			? result.index+1
			: index;
}


//============================================================================
// Constants

var partEndOrStartTagRE = /(<\/part>)|(<part(?:\s+)((?:[^>])+)>)/mg;
var partEndTagREString = "<\\/part>";
var partEndTagString = "</part>";

//============================================================================
// Plugin Specific Helpers

// Parse the parameters inside a <part ...> tag and return the result.
//
// @return [may be null] {partName: ..., isHidden: ...}
//
var parseStartTagParams = function(paramText) {
	var params = paramText.readMacroParams();
	if (params.length == 0 || params[0].length == 0) return null;
	
	var name = params[0];
	var paramsIndex = 1;
	var hidden = false;
	if (paramsIndex < params.length) {
		hidden = params[paramsIndex] == "hidden";
		paramsIndex++;
	}
	
	return {
		partName: name,
		isHidden: hidden
	};
}

// Returns the match to the next (end or start) part tag in the text,
// starting the search at startIndex.
//
// When no such tag is found null is returned, otherwise a "Match" is returned:
// [0]: full match
// [1]: matched "end" tag (or null when no end tag match)
// [2]: matched "start" tag (or null when no start tag match)
// [3]: content of start tag (or null if no start tag match)
//
var findNextPartEndOrStartTagMatch = function(text, startIndex) {
	var re = new RegExp(partEndOrStartTagRE);
	re.lastIndex = startIndex;
	var match = re.exec(text);
	return match;
}

//============================================================================
// Formatter

// Process the <part ...> ... </part> starting at (w.source, w.matchStart) for formatting.
//
// @return true if a complete part section (including the end tag) could be processed, false otherwise.
//
var handlePartSection = function(w) {
	var tagMatch = findNextPartEndOrStartTagMatch(w.source, w.matchStart);
	if (!tagMatch) return false;
	if (tagMatch.index != w.matchStart || !tagMatch[2]) return false;

	// Parse the start tag parameters
	var arguments = parseStartTagParams(tagMatch[3]);
	if (!arguments) return false;
	
	// Continue processing
	var startTagEndIndex = skipEmptyEndOfLine(w.source, tagMatch.index + tagMatch[0].length);
	var endMatch = findNextPartEndOrStartTagMatch(w.source, startTagEndIndex);
	if (endMatch && endMatch[1]) {
		if (!arguments.isHidden) {
			w.nextMatch = startTagEndIndex;
			w.subWikify(w.output,partEndTagREString);
		}
		w.nextMatch = skipEmptyEndOfLine(w.source, endMatch.index + endMatch[0].length);
		
		return true;
	}
	return false;
}

config.formatters.push( {
    name: "part",
    match: "<part\\s+[^>]+>",
	
	handler: function(w) {
		if (!handlePartSection(w)) {
			w.outputText(w.output,w.matchStart,w.matchStart+w.matchLength);
		}
	}
} )

//============================================================================
// Extend "fetchTiddler" functionality to also recognize "part"s of tiddlers
// as tiddlers.

var currentParent = null; // used for the "." parent (e.g. in the "tiddler" macro)

// Return the match to the first <part ...> tag of the text that has the
// requrest partName.
//
// @return [may be null]
//
var findPartStartTagByName = function(text, partName) {
	var i = 0;
	
	while (true) {
		var tagMatch = findNextPartEndOrStartTagMatch(text, i);
		if (!tagMatch) return null;

		if (tagMatch[2]) {
			// Is start tag
	
			// Check the name
			var arguments = parseStartTagParams(tagMatch[3]);
			if (arguments && arguments.partName == partName) {
				return tagMatch;
			}
		}
		i = tagMatch.index+tagMatch[0].length;
	}
}

// Return the part "partName" of the given parentTiddler as a "readOnly" Tiddler
// object, using fullName as the Tiddler's title.
//
// All remaining properties of the new Tiddler (tags etc.) are inherited from
// the parentTiddler.
//
// @return [may be null]
//
var getPart = function(parentTiddler, partName, fullName) {
	var text = parentTiddler.text;
	var startTag = findPartStartTagByName(text, partName);
	if (!startTag) return null;
	
	var endIndexOfStartTag = skipEmptyEndOfLine(text, startTag.index+startTag[0].length);
	var indexOfEndTag = text.indexOf(partEndTagString, endIndexOfStartTag);

	if (indexOfEndTag >= 0) {
		var partTiddlerText = text.substring(endIndexOfStartTag,indexOfEndTag);
		var partTiddler = new Tiddler();
		partTiddler.set(
						fullName,
						partTiddlerText,
						parentTiddler.modifier,
						parentTiddler.modified,
						parentTiddler.tags,
						parentTiddler.created);
		partTiddler.abegoIsPartTiddler = true;
		return partTiddler;
	}
	
	return null;
}

// Hijack the store.fetchTiddler to recognize the "part" addresses.
//
var hijackFetchTiddler = function() {
	var oldFetchTiddler = store.fetchTiddler ;
	store.fetchTiddler = function(title) {
		var result = oldFetchTiddler.apply(this, arguments);
		if (!result && title) {
			var i = title.lastIndexOf('/');
			if (i > 0) {
				var parentName = title.substring(0, i);
				var partName = title.substring(i+1);
				var parent = (parentName == ".")
						? store.resolveTiddler(currentParent)
						: oldFetchTiddler.apply(this, [parentName]);
				if (parent) {
					return getPart(parent, partName, parent.title+"/"+partName);
				}
			}
		}
		return result;	
	};
};

// for debugging the plugin is not loaded through the systemConfig mechanism but via a script tag.
// At that point in the "store" is not yet defined. In that case hijackFetchTiddler through the restart function.
// Otherwise hijack now.
if (!store) {
	var oldRestartFunc = restart;
	window.restart = function() {
		hijackFetchTiddler();
		oldRestartFunc.apply(this,arguments);
	};
} else
	hijackFetchTiddler();




// The user must not edit a readOnly/partTiddler
//

config.commands.editTiddler.oldIsReadOnlyFunction = Tiddler.prototype.isReadOnly;

Tiddler.prototype.isReadOnly = function() {
	// Tiddler.isReadOnly was introduced with TW 2.0.6.
	// For older version we explicitly check the global readOnly flag
	if (config.commands.editTiddler.oldIsReadOnlyFunction) {
		if (config.commands.editTiddler.oldIsReadOnlyFunction.apply(this, arguments)) return true;
	} else {
		if (readOnly) return true;
	}

	return this.abegoIsPartTiddler;
}

config.commands.editTiddler.handler = function(event,src,title)
{
	var t = store.getTiddler(title);
	// Edit the tiddler if it either is not a tiddler (but a shadowTiddler)
	// or the tiddler is not readOnly
	if(!t || !t.abegoIsPartTiddler)
		{
		clearMessage();
		story.displayTiddler(null,title,DEFAULT_EDIT_TEMPLATE);
		story.focusTiddler(title,"text");
		return false;
		}
}

// To allow the "./partName" syntax in macros we need to hijack
// the invokeMacro to define the "currentParent" while it is running.
//
var oldInvokeMacro = window.invokeMacro;
function myInvokeMacro(place,macro,params,wikifier,tiddler) {
	var oldCurrentParent = currentParent;
	if (tiddler) currentParent = tiddler;
	try {
		oldInvokeMacro.apply(this, arguments);
	} finally {
		currentParent = oldCurrentParent;
	}
}
window.invokeMacro = myInvokeMacro;

// To correctly support the "./partName" syntax while refreshing we need to hijack
// the config.refreshers.tiddlers to define the "currentParent" while it is running.
//
(function() {
	var oldTiddlerRefresher= config.refreshers.tiddler;
	config.refreshers.tiddler = function(e,changeList) {
		var oldCurrentParent = currentParent;
		try {
			currentParent = e.getAttribute("tiddler");
			return oldTiddlerRefresher.apply(this,arguments);
		} finally {
			currentParent = oldCurrentParent;
		}
	};
})();

// Support "./partName" syntax inside <<tabs ...>> macro
(function() {
	var extendRelativeNames = function(e, title) {
		var nodes = e.getElementsByTagName("a");
		for(var i=0; i<nodes.length; i++) {
			var node = nodes[i];
			var s = node.getAttribute("content");
			if (s && s.indexOf("./") == 0)
				node.setAttribute("content",title+s.substr(1));
		}
	};
	var oldHandler = config.macros.tabs.handler;
	config.macros.tabs.handler = function(place,macroName,params,wikifier,paramString,tiddler) {
		var result = oldHandler.apply(this,arguments);
		if (tiddler)
			extendRelativeNames(place, tiddler.title);
		return result;
	};
})();

// Scroll the anchor anchorName in the viewer of the given tiddler visible.
// When no tiddler is defined use the tiddler of the target given event is used.
window.scrollAnchorVisible = function(anchorName, tiddler, evt) {
	var tiddlerElem = null;
	if (tiddler) {
		tiddlerElem = document.getElementById(story.idPrefix + tiddler);
	}
	if (!tiddlerElem && evt) {
		var target = resolveTarget(evt);
		tiddlerElem = story.findContainingTiddler(target);
	}
	if (!tiddlerElem) return;

	var children = tiddlerElem.getElementsByTagName("a");
	for (var i = 0; i < children.length; i++) {
		var child = children[i];
		var name = child.getAttribute("name");
		if (name == anchorName) {
			var y = findPosY(child);
			window.scrollTo(0,y);
			return;
		}
	}
}

} // of "install only once"
//}}}

/***
<html><sub><a href="javascript:;" onclick="scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>

!Licence and Copyright
Copyright (c) abego Software ~GmbH, 2006 ([[www.abego-software.de|http://www.abego-software.de]])

Redistribution and use in source and binary forms, with or without modification,
are permitted provided that the following conditions are met:

Redistributions of source code must retain the above copyright notice, this
list of conditions and the following disclaimer.

Redistributions in binary form must reproduce the above copyright notice, this
list of conditions and the following disclaimer in the documentation and/or other
materials provided with the distribution.

Neither the name of abego Software nor the names of its contributors may be
used to endorse or promote products derived from this software without specific
prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT
SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT,
INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN
ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH
DAMAGE.

<html><sub><a href="javascript:;" onclick="scrollAnchorVisible('Top',null, event)">[Top]</sub></a></html>
***/
* [[Jumbo Algebraic Geometry Program|http://ag.msri2009.org/]] - Program at MSRI (1/12/09-5/22/09)
* [[Homotopy theory and applications|http://www.math.unl.edu/~siyengar2/Rowlee09.html]], University of Nebraska (4/3/09-4/5/09)
* [[Western Algebraic Geometry Seminar 2009|http://wags.msri2009.org/]], MSRI (4/25/09-4/26/09)
* [[11th NRW Topology Meeting|http://www.math.uni-bielefeld.de/~zaeper/11NRW_Topology_announcement.html]], Bielefeld (5/8/09-5/9/09)
* [[Spaces of curves and their interaction with diophantine problems|http://www.math.columbia.edu/~dejong/conference.html]], Columbia (6/1/09-6/5/09)
* [[Algebraic K-Theory and Motivic Cohomology|http://www.mfo.de/cgi-bin/tagung_espe?type=21&tnr=0927]], Workshop at Oberwolfach (6/28/09-7/04/09)
* [[Motivic homotopy theory|http://wwwmath.uni-muenster.de/sfb/about/veranst/index2009.html]], Münster (7/27/09-7/31/09)
* [[Rational connectivity and A¹-homotopy theory|http://www.aimath.org/ARCC/workshops/a1homotopy.html]] - Workshop at [[AIM|http://www.aimath.org/ARCC/workshops/a1homotopy.html]] (10/5/09-10/9/09)
* [[Western Algebraic Geometry Seminar|http://fall09.wagsymposium.org/]] - UCLA (10/24/09-10/25/09)
* [[Southern California Algebraic Geometry Seminar|http://sites.google.com/site/socalags/]] ([[Register|http://sites.google.com/site/socalags/Home/register]]) - USC (11/21/09)
* [[Southern California Algebra Conference|http://csulb.edu/~wmurray/scac.html]] - Seminar at UCLA (12/5/2009)
* [[Workshop on Motives V|http://www.kurims.kyoto-u.ac.jp/~gokun/motive2009_e.html]] - Worshop in Tokyo (12/14/09-12/18/09)
* [[A¹-homotopy Theory and its Recent Developments|http://www.math.ias.edu/node/613]] - Program at the IAS (1/12/10-4/9/10)
* [[Southern California Algebraic Geometry Seminar|http://sites.google.com/site/socalags]] - UCSD (4/3/10)
* [[Western Algebraic Geometry Seminar|http://www.wagsymposium.org/]] - Vancouver (5/1/10-5/2/10)
* [[Motives and Homotopy Theory of Schemes|http://www.mfo.de/cgi-bin/tagung_espe?type=21&tnr=1020]] - Workshop at Oberwolfach (5/16/10-5/22/10)
* [[Satellite Conference on Algebraic Geometry|http://sites.google.com/site/cyclessite/icmag2010]] - Hyderabad (8/13/10-8/16/10)
* [[Geometric aspects of motivic homotopy theory|http://www.hausdorff-center.uni-bonn.de/event/2010/MotivicHomotopy/]] - Bonn (9/6/10-9/10/10)
* [[AMS Special Session on Homotopy theory and K-theory|http://www.ams.org/meetings/sectional/2170_program_ss10.html]] - UCLA (10/9/10-10/10/10)
* [[Southern California Algebraic Geometry Seminar|http://sites.google.com/site/socalags]] - UCLA (10/23/2010)
* [[Cascade topology seminar|http://www.math.washington.edu/~palmieri/Cascade/]] - Seattle (11/13/10-11/14/10)
* [[Workshop on Motives VI|http://www.kurims.kyoto-u.ac.jp/~gokun/workshop.html]] -Tokyo (12/13/10-12/17/10)
* [[Southern California Algebra Conference|http://www.csulb.edu/~wmurray/scac.html]] - Los Angeles (1/22/2011)
* [[Southern California Algebraic Geometry Seminar|http://sites.google.com/site/socalags/]] ([[Register|http://sites.google.com/site/socalags/Home/register]]) - USCD (3/12/2011)
* [[Western Algebraic Geometry Seminar|http://spring11.wagsymposium.org/]] - Palo Alto (4/9/11-4/10/11)
* [[Workshop on Group Actions, Generalized Cohomology theories, and affine algebraic geometry|http://www.fields.utoronto.ca/programs/scientific/10-11/group_actions/index.html]] - Ottawa (4/22/11-4/24/2011)
* [[Motives and Milnor Conjecture Summer School|http://www.math.uiuc.edu/K-theory/Calendar/20110609/]] - Paris (6/9/11-6/17/11)
* [[Summer school on Rigidity and the Conjecture of Friedlander and Milnor|http://www-cgi.uni-regensburg.de/Fakultaeten/nat_Fak_I/GK/index.php/Summer_School_Rigidity]] - Regensburg (8/1/11-8/5/11)
* [[CIRM meeting on Géométrie arithmétique et motivique|http://www.cirm.univ-mrs.fr/index.html/spip.php?rubrique2&EX=info_rencontre&annee=2011&id_renc=431]] - Luminy (9/19/2011-9/23/2011)
/***
|Name|Plugin: jsMath|
|Created by|BobMcElrath|
|Email|my first name at my last name dot org|
|Location|http://bob.mcelrath.org/tiddlyjsmath.html|
|Version|1.5.1|
|Requires|[[TiddlyWiki|http://www.tiddlywiki.com]] &ge; 2.0.3, [[jsMath|http://www.math.union.edu/~dpvc/jsMath/]] &ge; 3.0|
!Description
LaTeX is the world standard for specifying, typesetting, and communicating mathematics among scientists, engineers, and mathematicians.  For more information about LaTeX itself, visit the [[LaTeX Project|http://www.latex-project.org/]].  This plugin typesets math using [[jsMath|http://www.math.union.edu/~dpvc/jsMath/]], which is an implementation of the TeX math rules and typesetting in javascript, for your browser.  Notice the small button in the lower right corner which opens its control panel.
!Installation
In addition to this plugin, you must also [[install jsMath|http://www.math.union.edu/~dpvc/jsMath/download/jsMath.html]] on the same server as your TiddlyWiki html file.  If you're using TiddlyWiki without a web server, then the jsMath directory must be placed in the same location as the TiddlyWiki html file.

I also recommend modifying your StyleSheet use serif fonts that are slightly larger than normal, so that the math matches surrounding text, and \\small fonts are not unreadable (as in exponents and subscripts).
{{{
.viewer {
  line-height: 125%;
  font-family: serif;
  font-size: 12pt;
}
}}}

If you had used a previous version of [[Plugin: jsMath]], it is no longer necessary to edit the main tiddlywiki.html file to add the jsMath <script> tag.  [[Plugin: jsMath]] now uses ajax to load jsMath.
!History
* 11-Nov-05, version 1.0, Initial release
* 22-Jan-06, version 1.1, updated for ~TW2.0, tested with jsMath 3.1, editing tiddlywiki.html by hand is no longer necessary.
* 24-Jan-06, version 1.2, fixes for Safari, Konqueror
* 27-Jan-06, version 1.3, improved error handling, detect if ajax was already defined (used by ZiddlyWiki)
* 12-Jul-06, version 1.4, fixed problem with not finding image fonts
* 26-Feb-07, version 1.5, fixed problem with Mozilla "unterminated character class".
* 27-Feb-07, version 1.5.1, Runs compatibly with TW 2.1.0+, by Bram Chen
!Examples
|!Source|!Output|h
|{{{The variable $x$ is real.}}}|The variable $x$ is real.|
|{{{The variable \(y\) is complex.}}}|The variable \(y\) is complex.|
|{{{This \[\int_a^b x = \frac{1}{2}(b^2-a^2)\] is an easy integral.}}}|This \[\int_a^b x = \frac{1}{2}(b^2-a^2)\] is an easy integral.|
|{{{This <IMG src="http://www.yourequations.com/eq.latex?\int_a^b \sin x = -(\cos b - \cos a)" alt="\int_a^b \sin x = -(\cos b - \cos a)" class="eq_latex" align="middle" border="0"> is another easy integral.}}}|This <IMG src="http://www.yourequations.com/eq.latex?\int_a^b \sin x = -(\cos b - \cos a)" alt="\int_a^b \sin x = -(\cos b - \cos a)" class="eq_latex" align="middle" border="0"> is another easy integral.|
|{{{Block formatted equations may also use the 'equation' environment \begin{equation}  \int \tan x = -\ln \cos x \end{equation} }}}|Block formatted equations may also use the 'equation' environment \begin{equation}  \int \tan x = -\ln \cos x \end{equation}|
|{{{Equation arrays are also supported \begin{eqnarray} a &=& b \\ c &=& d \end{eqnarray} }}}|Equation arrays are also supported \begin{eqnarray} a &=& b \\ c &=& d \end{eqnarray} |
|{{{I spent \$7.38 on lunch.}}}|I spent \$7.38 on lunch.|
|{{{I had to insert a backslash (\\) into my document}}}|I had to insert a backslash (\\) into my document|
!Code
***/
//{{{

// AJAX code adapted from http://timmorgan.org/mini
// This is already loaded by ziddlywiki...
if(typeof(window["ajax"]) == "undefined") {
  ajax = {
      x: function(){try{return new ActiveXObject('Msxml2.XMLHTTP')}catch(e){try{return new ActiveXObject('Microsoft.XMLHTTP')}catch(e){return new XMLHttpRequest()}}},
      gets: function(url){var x=ajax.x();x.open('GET',url,false);x.send(null);return x.responseText}
  }
}

// Load jsMath
jsMath = {
  Setup: {inited: 1},          // don't run jsMath.Setup.Body() yet
  Autoload: {root: new String(document.location).replace(/[^\/]*$/,'jsMath/')}  // URL to jsMath directory, change if necessary
};
var jsMathstr;
try {
  jsMathstr = ajax.gets(jsMath.Autoload.root+"jsMath.js");
} catch(e) {
  alert("jsMath was not found: you must place the 'jsMath' directory in the same place as this file.  "
       +"The error was:\n"+e.name+": "+e.message);
  throw(e);  // abort eval
}
try {
  window.eval(jsMathstr);
} catch(e) {
  alert("jsMath failed to load.  The error was:\n"+e.name + ": " + e.message + " on line " + e.lineNumber);
}
jsMath.Setup.inited=0;  //  allow jsMath.Setup.Body() to run again

// Define wikifers for latex
config.formatterHelpers.mathFormatHelper = function(w) {
    var e = document.createElement(this.element);
    e.className = this.className;
    var endRegExp = new RegExp(this.terminator, "mg");
    endRegExp.lastIndex = w.matchStart+w.matchLength;
    var matched = endRegExp.exec(w.source);
    if(matched) {
        var txt = w.source.substr(w.matchStart+w.matchLength,
            matched.index-w.matchStart-w.matchLength);
        if(this.keepdelim) {
          txt = w.source.substr(w.matchStart, matched.index+matched[0].length-w.matchStart);
        }
        e.appendChild(document.createTextNode(txt));
        w.output.appendChild(e);
        w.nextMatch = endRegExp.lastIndex;
    }
}

config.formatters.push({
  name: "displayMath1",
  match: "\\\$\\\$",
  terminator: "\\\$\\\$\\n?", // 2.0 compatability
  termRegExp: "\\\$\\\$\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

config.formatters.push({
  name: "inlineMath1",
  match: "\\\$",
  terminator: "\\\$", // 2.0 compatability
  termRegExp: "\\\$",
  element: "span",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

var backslashformatters = new Array(0);

backslashformatters.push({
  name: "inlineMath2",
  match: "\\\\\\\(",
  terminator: "\\\\\\\)", // 2.0 compatability
  termRegExp: "\\\\\\\)",
  element: "span",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

backslashformatters.push({
  name: "displayMath2",
  match: "\\\\\\\[",
  terminator: "\\\\\\\]\\n?", // 2.0 compatability
  termRegExp: "\\\\\\\]\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

backslashformatters.push({
  name: "displayMath3",
  match: "\\\\begin\\{equation\\}",
  terminator: "\\\\end\\{equation\\}\\n?", // 2.0 compatability
  termRegExp: "\\\\end\\{equation\\}\\n?",
  element: "div",
  className: "math",
  handler: config.formatterHelpers.mathFormatHelper
});

// These can be nested.  e.g. \begin{equation} \begin{array}{ccc} \begin{array}{ccc} ...
backslashformatters.push({
  name: "displayMath4",
  match: "\\\\begin\\{eqnarray\\}",
  terminator: "\\\\end\\{eqnarray\\}\\n?", // 2.0 compatability
  termRegExp: "\\\\end\\{eqnarray\\}\\n?",
  element: "div",
  className: "math",
  keepdelim: true,
  handler: config.formatterHelpers.mathFormatHelper
});

// The escape must come between backslash formatters and regular ones.
// So any latex-like \commands must be added to the beginning of
// backslashformatters here.
backslashformatters.push({
    name: "escape",
    match: "\\\\.",
    handler: function(w) {
        w.output.appendChild(document.createTextNode(w.source.substr(w.matchStart+1,1)));
        w.nextMatch = w.matchStart+2;
    }
});

config.formatters=backslashformatters.concat(config.formatters);

window.wikify = function(source,output,highlightRegExp,tiddler)
{
    if(source && source != "") {
        if(version.major == 2 && version.minor > 0) {
            var wikifier = new Wikifier(source,getParser(tiddler),highlightRegExp,tiddler);
            wikifier.subWikifyUnterm(output);
        } else {
            var wikifier = new Wikifier(source,formatter,highlightRegExp,tiddler);
            wikifier.subWikify(output,null);
        }
        jsMath.ProcessBeforeShowing();
    }
}
//}}}
* Additional Information: ////Preprint v. 28 Mar 2008////
* Availability:  In prepration
* ''Abstract'':  (Tentative) Using the explicit geometric models of motivic spheres produced by Asok and Doran, we revisit the theory of polynomial maps of affine quadric hypersurfaces from the standpoint of ${\mathbb A}^1$-homotopy theory.  One can produce motivic analogues of a host of classical unstable homotopy theoretic constructions.  We modify the classical Hopf construction for bilinear forms to produce //smooth integral// Hopf morphisms.  We produce a motivic version of the Hopf invariant.  We formulate and solve a precise motivic analogue of the classical Hopf invariant $1$ problem.  This result has the purely algebro-geometric consequence that over a field of characteristic not $2$, only smooth affine (homogeneous) quadric hypersurfaces of dimensions $0,1,3$ and $7$ can admit unital polynomial compositions.
The results of this paper will likely be collapsed into the previous paper on quadrics.  
!$\large {\mathbb A}^1$-homotopy types
This group of papers is devoted to studying smooth varieties from the standpoint of the Morel-Voevodsky ${\mathbb A}^1$-homotopy theory.  We are interested in the problem of classifying varieties up to ${\mathbb A}^1$-homotopy equivalence and understanding how ${\mathbb A}^1$-homotopy theoretic invariants and questions are related to ``classical" algebro-geometric invariants.
<<slider chkHomotopyTypesInfo "HomotopyTypesInfo" "More Information">>
!!!!Obstruction theory and applications
* __[[Toward a metastable range in A¹-homotopy theory of punctured affine spaces]]__, with J. Fasel - [[PDF|papers/pinanminus0OWR.pdf]], (//v. 22 Jul 2013 - Oberwolfach Report//)
* __[[Motivic secondary characteristic classes and the Euler class]]__, with J. Fasel - [[ArXiv|http://arxiv.org/abs/1307.6831]],[[PDF|papers/secondarycharacteristicclassesv8July2013.pdf]], (//Preprint, v. 25 Jul 2013;// Comments welcome!)
* __[[Comparing Euler classes]]__, with J. Fasel - [[ArXiv|http://arxiv.org/abs/1306.5250]],[[PDF|papers/comparingEulerclassesv20Jun2013.pdf]], (//Preprint, v. 20 Jun 2013;// Comments welcome!)
* __[[Splitting vector bundles outside the stable range and homotopy theory of punctured affine spaces]]__, with J. Fasel - [[ArXiv|http://arxiv.org/abs/1209.5631]],[[PDF|papers/splittingproblemsv31Oct2012.pdf]], (//Preprint, v. 5 Nov 2012;// Comments welcome!)
* __[[Algebraic vector bundles on spheres]]__, with J. Fasel - [[ArXiv|http://arxiv.org/abs/1204.4538]],[[PDF|papers/vectorbundlesonalgebraicspheresArXivv2.pdf]], (//Preprint, v. 31 May 2012;// Comments welcome!)
* __[[A cohomological classification of vector bundles over smooth affine threefolds]]__, with J. Fasel - [[ArXiv|http://arxiv.org/abs/1204.0770]],[[PDF|papers/vectorbundlesonthreefoldsArXivv3.pdf]], (//Preprint, v. 5 Nov 2012;// Comments welcome!)
!!!!${\mathbb A}^1$-homotopy types: relationship with birational geometry
* __[[The 0-th stable A¹-homotopy sheaf and quadratic zero cycles]]__, with C. Haesemeyer - [[ArXiv|http://arxiv.org/abs/1108....]],[[PDF|papers/stablehomotopyandquadraticzerocyclesv18Aug11.pdf]], (//Preprint, v. 18 Aug 2011;// Comments welcome!)
* __[[Rationality problems and conjectures of Milnor and Bloch-Kato]]__ - [[ArXiv|http://arxiv.org/abs/1203.4022]],[[PDF|papers/nonrationalityv18Mar2012.pdf]] (//Preprint, v. 18 Mar 2012;// Compos. Math. 2013)
* __[[Birational invariants and A¹-connectedness]]__ - [[ArXiv|http://arxiv.org/abs/1001.4574]],[[DVI|papers/birationalinvariantsv18Nov11.dvi]], [[PDF|papers/birationalinvariantsv18Nov11.pdf]] (//Preprint, v. 18 Nov 2011 - To appear Crelle's Journal//)
* __[[Stable A¹-homotopy and R-equivalence]]__, with C. Haesemeyer - [[ArXiv|http://arxiv.org/abs/1011.3186]],[[DVI|papers/Requivalenceandaonehomology4Jan11.dvi]],[[PDF|papers/Requivalenceandaonehomology4Jan11.pdf]], (//v. 4 Jan 2011 - J Pure Appl Alg 2011 215 (10), pp. 2469-2472//)
* __[[Rational points vs. 0-cycles of degree 1 in stable A¹-homotopy theory]]__, with C. Haesemeyer and F. Morel - [[DVI|papers/RatPtsOberwolfach.dvi]],[[PDF|papers/RatPtsOberwolfach.pdf]], (//v. 16 Jun 2010 - Oberwolfach Reports Volume 7, Issue 2, 2010, pp. 1423–1425//)
!!!! ${\mathbb A}^1$-homotopy types: the proper case
* __[[Splitting vector bundles and A¹-fundamental groups of higher dimensional varieties]]__ - [[ArXiv|http://arxiv.org/abs/1103.1723]],[[PDF|papers/threefoldsv22Oct2012.pdf]] (//Preprint, v. 22 Oct 2012 - J. Top 2013//)
* __[[Smooth varieties up to A¹-homotopy and algebraic h-cobordisms]]__, with F. Morel - [[ArXiv|http://arxiv.org/abs/0810.0324]],[[PDF|papers/hcobordismsRevPost7Apr2011.pdf]] (//v. 7 Apr 2011 - Adv. Math. 2011 227 (5) pp. 1990-2058 //)
* __[[Remarks on A¹-homotopy groups of smooth toric models]]__ - [[PDF|papers/nonsplitoricMRLstyle.pdf]] (//v. 28 Oct 2009 - Math Res. Lett. 2011 18 (2), pp. 353-356//)
* __[[A¹-homotopy types, excision, and solvable quotients]]__, with B. Doran - [[ArXiV|http://arxiv.org/abs/0902.1564]],[[DVI|papers/toricA1finalrev2.dvi]],[[PDF|papers/toricA1finalrev2.pdf]] (//v. 08 Mar 2009 - Adv. Math. 2009, 221 (4) pp. 1144-1190//)
!!!! ${\mathbb A}^1$-homotopy types: the non-proper case
* __[[The geometry of motivic spheres via quadrics]]__, with. B. Doran - [[DVI|papers/QuadricsRev2.dvi]], [[PDF|papers/QuadricsRev2.pdf]] (//Preprint v. 28 Mar 2008//)
!!!! ${\mathbb A}^1$-homotopy types: the contractible case
* __[[Motives of some acyclic varieties]]__ - [[PDF|papers/acyclicv16Nov2011.pdf]] (//v. 16 Nov 2011 - HHA 2011, 13 (2) pp. 329-335//)
* __[[Almost vector bundles]]__ - [[DVI|papers/almostvectorbundles.dvi]],[[PDF|papers/almostvectorbundles.pdf]] (//Preprint, v. 6 Feb 2009//)
* __[[A¹-homotopy types and contractible smooth surfaces]]__ - [[DVI|papers/exoticIIb-contractibleFinal.dvi]],[[PDF|papers/exoticIIb-contractibleFinal.pdf]] (//Preprint, v. 8 May 2008//)
* __[[Vector bundles on contractible smooth schemes]]__, with B. Doran - [[ArXiv|http://arxiv.org/abs/0710.3607]],[[DVI|papers/exoticaffinesIIIfinal.dvi]],[[PDF|papers/exoticaffinesIIIfinal.pdf]] (//v. 15 Oct 2007 - Duke Math. J. 2008, 143 (3), pp. 513-530//)
* __[[On unipotent quotients and some A¹-contractible smooth schemes]]__, with B. Doran - [[ArXiv|http://arxiv.org/abs/math/0703137]],[[DVI|papers/exoticaffinesFinal.dvi]],[[PDF|papers/exoticaffinesFinal.pdf]] (//v. 05 Mar 2007 - Int. Math. Res. Pap. 2007 V.2 Art. ID rpm005, 51 pages//)

!Equivariant Vector Bundles
The key goal of this class of papers is to give ``concrete" descriptions of the category of equivariant vector bundles on certain varieties with group actions. The main example to keep in mind is [[Klyachko's description|http://arxiv.org/abs/math/0205311]] of the category of $T$-equivariant vector bundles on a smooth projective [[toric|http://en.wikipedia.org/wiki/Toric_variety]] $T$-variety.  Klyachko's description was generalized by S. Kato to certain [[more general compactifications of reductive groups|http://arxiv.org/abs/math/0202028]].
* __[[Equivariant sheaves on spherical varieties]]__, with J. Parson - //In preparation//
* __[[Equivariant sheaves on some spherical varieties]]__, with J. Parson - [[ArXiv|http://arxiv.org/abs/0908.3906]],[[DVI|papers/equivvb-announcement.dvi]],[[PDF|papers/equivvb-nnouncement.pdf]] (//Preprint v. 25 Aug 2009//)
* __[[Equivariant Vector Bundles on Certain Affine G- Varieties]]__ - [[ArXiv|http://arxiv.org/abs/math/0604344]],[[DVI|papers/asok-equivvb.dvi]],[[PDF|papers/asok-equivvb.pdf]] (//Pure App. Math. Q. 2006, 2 (4), pp. 1085-1102 //)
* Thesis - __Geometry of Simple G- Varieties__ (//Princeton, November 2004, Not fit for human consumption.//)

!Cohomology of Quotients
In this group of papers, we extend the ideas of Kirwan's thesis to study motivic cohomology (in the sense of Voevodsky) of varieties constructed as quotients by means of geometric invariant theory.
* __[[Equivariant Motivic Cohomology and GIT Quotients]]__, with B. Doran and F. Kirwan- //In Preparation//
* __[[Yang- Mills theory and Tamagawa Numbers]]__, with B. Doran and F. Kirwan - [[ArXiv|http://arxiv.org/abs/0801.4733]],[[DVI|papers/TamagawaFinal2.dvi]],[[PDF|papers/TamagawaFinal2.pdf]] (//v. 09 Jul 2007 - Bull. London Math. Soc. 2008, 40 (4), pp. 533-567//)
/***
|Name:|PrettyDatesPlugin|
|Description:|Provides a new date format ('pppp') that displays times such as '2 days ago'|
|Version:|1.0 ($Rev: 3646 $)|
|Date:|$Date: 2008-02-27 02:34:38 +1000 (Wed, 27 Feb 2008) $|
|Source:|http://mptw.tiddlyspot.com/#PrettyDatesPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
!!Notes
* If you want to you can rename this plugin. :) Some suggestions: LastUpdatedPlugin, RelativeDatesPlugin, SmartDatesPlugin, SexyDatesPlugin.
* Inspired by http://ejohn.org/files/pretty.js
***/
//{{{
Date.prototype.prettyDate = function() {
	var diff = (((new Date()).getTime() - this.getTime()) / 1000);
	var day_diff = Math.floor(diff / 86400);

	if (isNaN(day_diff))      return "";
	else if (diff < 0)        return "in the future";
	else if (diff < 60)       return "just now";
	else if (diff < 120)      return "1 minute ago";
	else if (diff < 3600)     return Math.floor(diff/60) + " minutes ago";
	else if (diff < 7200)     return "1 hour ago";
	else if (diff < 86400)    return Math.floor(diff/3600) + " hours ago";
	else if (day_diff == 1)   return "Yesterday";
	else if (day_diff < 7)    return day_diff + " days ago";
	else if (day_diff < 14)   return  "a week ago";
	else if (day_diff < 31)   return Math.ceil(day_diff/7) + " weeks ago";
	else if (day_diff < 62)   return "a month ago";
	else if (day_diff < 365)  return "about " + Math.ceil(day_diff/31) + " months ago";
	else if (day_diff < 730)  return "a year ago";
	else                      return Math.ceil(day_diff/365) + " years ago";
}

Date.prototype.formatString_orig_mptw = Date.prototype.formatString;

Date.prototype.formatString = function(template) {
	return this.formatString_orig_mptw(template).replace(/pppp/,this.prettyDate());
}

// for MPTW. otherwise edit your ViewTemplate as required.
// config.mptwDateFormat = 'pppp (DD/MM/YY)';
config.mptwDateFormat = 'pppp';

//}}}

/***
|Name:|QuickOpenTagPlugin|
|Description:|Changes tag links to make it easier to open tags as tiddlers|
|Version:|3.0.1 ($Rev: 3861 $)|
|Date:|$Date: 2008-03-08 10:53:09 +1000 (Sat, 08 Mar 2008) $|
|Source:|http://mptw.tiddlyspot.com/#QuickOpenTagPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
***/
//{{{
config.quickOpenTag = {

	dropdownChar: (document.all ? "\u25bc" : "\u25be"), // the little one doesn't work in IE?

	createTagButton: function(place,tag,excludeTiddler) {
		// little hack so we can do this: <<tag PrettyTagName|RealTagName>>
		var splitTag = tag.split("|");
		var pretty = tag;
		if (splitTag.length == 2) {
			tag = splitTag[1];
			pretty = splitTag[0];
		}
		
		var sp = createTiddlyElement(place,"span",null,"quickopentag");
		createTiddlyText(createTiddlyLink(sp,tag,false),pretty);
		
		var theTag = createTiddlyButton(sp,config.quickOpenTag.dropdownChar,
                        config.views.wikified.tag.tooltip.format([tag]),onClickTag);
		theTag.setAttribute("tag",tag);
		if (excludeTiddler)
			theTag.setAttribute("tiddler",excludeTiddler);
    		return(theTag);
	},

	miniTagHandler: function(place,macroName,params,wikifier,paramString,tiddler) {
		var tagged = store.getTaggedTiddlers(tiddler.title);
		if (tagged.length > 0) {
			var theTag = createTiddlyButton(place,config.quickOpenTag.dropdownChar,
                        	config.views.wikified.tag.tooltip.format([tiddler.title]),onClickTag);
			theTag.setAttribute("tag",tiddler.title);
			theTag.className = "miniTag";
		}
	},

	allTagsHandler: function(place,macroName,params) {
		var tags = store.getTags(params[0]);
		var filter = params[1]; // new feature
		var ul = createTiddlyElement(place,"ul");
		if(tags.length == 0)
			createTiddlyElement(ul,"li",null,"listTitle",this.noTags);
		for(var t=0; t<tags.length; t++) {
			var title = tags[t][0];
			if (!filter || (title.match(new RegExp('^'+filter)))) {
				var info = getTiddlyLinkInfo(title);
				var theListItem =createTiddlyElement(ul,"li");
				var theLink = createTiddlyLink(theListItem,tags[t][0],true);
				var theCount = " (" + tags[t][1] + ")";
				theLink.appendChild(document.createTextNode(theCount));
				var theDropDownBtn = createTiddlyButton(theListItem," " +
					config.quickOpenTag.dropdownChar,this.tooltip.format([tags[t][0]]),onClickTag);
				theDropDownBtn.setAttribute("tag",tags[t][0]);
			}
		}
	},

	// todo fix these up a bit
	styles: [
"/*{{{*/",
"/* created by QuickOpenTagPlugin */",
".tagglyTagged .quickopentag, .tagged .quickopentag ",
"	{ margin-right:1.2em; border:1px solid #eee; padding:2px; padding-right:0px; padding-left:1px; }",
".quickopentag .tiddlyLink { padding:2px; padding-left:3px; }",
".quickopentag a.button { padding:1px; padding-left:2px; padding-right:2px;}",
"/* extra specificity to make it work right */",
"#displayArea .viewer .quickopentag a.button, ",
"#displayArea .viewer .quickopentag a.tiddyLink, ",
"#mainMenu .quickopentag a.tiddyLink, ",
"#mainMenu .quickopentag a.tiddyLink ",
"	{ border:0px solid black; }",
"#displayArea .viewer .quickopentag a.button, ",
"#mainMenu .quickopentag a.button ",
"	{ margin-left:0px; padding-left:2px; }",
"#displayArea .viewer .quickopentag a.tiddlyLink, ",
"#mainMenu .quickopentag a.tiddlyLink ",
"	{ margin-right:0px; padding-right:0px; padding-left:0px; margin-left:0px; }",
"a.miniTag {font-size:150%;} ",
"#mainMenu .quickopentag a.button ",
"	/* looks better in right justified main menus */",
"	{ margin-left:0px; padding-left:2px; margin-right:0px; padding-right:0px; }",
"#topMenu .quickopentag { padding:0px; margin:0px; border:0px; }",
"#topMenu .quickopentag .tiddlyLink { padding-right:1px; margin-right:0px; }",
"#topMenu .quickopentag .button { padding-left:1px; margin-left:0px; border:0px; }",
"/*}}}*/",
		""].join("\n"),

	init: function() {
		// we fully replace these builtins. can't hijack them easily
		window.createTagButton = this.createTagButton;
		config.macros.allTags.handler = this.allTagsHandler;
		config.macros.miniTag = { handler: this.miniTagHandler };
		config.shadowTiddlers["QuickOpenTagStyles"] = this.styles;
		store.addNotification("QuickOpenTagStyles",refreshStyles);
	}
}

config.quickOpenTag.init();

//}}}

* co-authors: Christian Haesemeyer and Fabien Morel
* Additional Information: //[[Oberwolfach Reports Volume 7, Issue 2, 2010, pp. 1423–1425|http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=7&iss=2&rank=7]]//
* Availability: [[DVI|papers/RatPtsOberwolfach.dvi]],[[PDF|papers/RatPtsOberwolfach.pdf]], [[Published|http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=7&iss=2&rank=7]]
* ''Abstract'': This document is an extended abstract for a talk at the Oberwolfach session ``Motives and homotopy theory of schemes" in May 2010.
* Additional information: Coming soon
* Availability: [[ArXiv|http://arxiv.org/abs/1001.4574]],[[DVI|papers/birationalinvariantsv1Mar10.dvi]], [[PDF|papers/birationalinvariantsv1Mar10.pdf]]
* ''Abstract'':  we show how the techniques of Voevodsky's proof of the Milnor conjecture and the Voevodsky-Rost proof of its generalization the Bloch-Kato conjecture can be used to study counterexamples to the classical Luroth problem.  We provide a construction of unirational, non-rational varieties, where non-rationality is detected by non-triviality of a degree $n$ unramified \'etale cohomology group (with torsion coefficients), yet cannot be detected by lower degree invariants.  Our construction generalizes work of Colliot-Thelene-Ojanguren and Peyre.

* This is going to be a revised and expanded version of the second part of the paper entitled [[Birational invariants and A¹-connectedness]].  Since the new version is not yet available, we have provided a link to the old version.
* Additional Information: //Preprint v. 18 Mar 2012//
* Availability:  [[ArXiv|http://arxiv.org/abs/1203.4022]],[[PDF|papers/nonrationalityv18Mar2012.pdf]]
* ''Abstract'': We show how the techniques of Voevodsky's proof of the Milnor conjecture and the Voevodsky-Rost proof of its generalization the Bloch-Kato conjecture can be used to study counterexamples to the classical L\"uroth problem.  By generalizing a method due to Peyre, we produce for any prime number $\ell$ and any integer $n \geq 2$, a rationally connected, non-rational variety for which non-rationality is detected by a non-trivial degree $n$ unramified \'etale cohomology class with $\ell$-torsion coefficients.  When $\ell = 2$, the varieties that are constructed are furthermore unirational and non-rationality cannot be detected by a torsion unramified \'etale cohomology class of lower degree. 
* Additional Information: //v. 28 Oct 2009 - Math Res. Lett. 2011 18 (2), pp. 353-356//
* Availability: [[PDF|papers/nonsplitoricMRLstyle.pdf]],[[Journal|http://www.mrlonline.org/mrl/2011-018-002/2011-018-002-012.html]]
* ''Abstract'': We extend previous results on ${\mathbb A}^1$-homotopy groups of smooth proper toric varieties to the case of smooth proper toric models, i.e., smooth proper equivariant compactifications of possibly non-split tori.
/***
|Name:|RenameTagsPlugin|
|Description:|Allows you to easily rename or delete tags across multiple tiddlers|
|Version:|3.0 ($Rev: 5501 $)|
|Date:|$Date: 2008-06-10 23:11:55 +1000 (Tue, 10 Jun 2008) $|
|Source:|http://mptw.tiddlyspot.com/#RenameTagsPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License|http://mptw.tiddlyspot.com/#TheBSDLicense|
Rename a tag and you will be prompted to rename it in all its tagged tiddlers.
***/
//{{{
config.renameTags = {

	prompts: {
		rename: "Rename the tag '%0' to '%1' in %2 tidder%3?",
		remove: "Remove the tag '%0' from %1 tidder%2?"
	},

	removeTag: function(tag,tiddlers) {
		store.suspendNotifications();
		for (var i=0;i<tiddlers.length;i++) {
			store.setTiddlerTag(tiddlers[i].title,false,tag);
		}
		store.resumeNotifications();
		store.notifyAll();
	},

	renameTag: function(oldTag,newTag,tiddlers) {
		store.suspendNotifications();
		for (var i=0;i<tiddlers.length;i++) {
			store.setTiddlerTag(tiddlers[i].title,false,oldTag); // remove old
			store.setTiddlerTag(tiddlers[i].title,true,newTag);  // add new
		}
		store.resumeNotifications();
		store.notifyAll();
	},

	storeMethods: {

		saveTiddler_orig_renameTags: TiddlyWiki.prototype.saveTiddler,

		saveTiddler: function(title,newTitle,newBody,modifier,modified,tags,fields,clearChangeCount,created) {
			if (title != newTitle) {
				var tagged = this.getTaggedTiddlers(title);
				if (tagged.length > 0) {
					// then we are renaming a tag
					if (confirm(config.renameTags.prompts.rename.format([title,newTitle,tagged.length,tagged.length>1?"s":""])))
						config.renameTags.renameTag(title,newTitle,tagged);

					if (!this.tiddlerExists(title) && newBody == "")
						// dont create unwanted tiddler
						return null;
				}
			}
			return this.saveTiddler_orig_renameTags(title,newTitle,newBody,modifier,modified,tags,fields,clearChangeCount,created);
		},

		removeTiddler_orig_renameTags: TiddlyWiki.prototype.removeTiddler,

		removeTiddler: function(title) {
			var tagged = this.getTaggedTiddlers(title);
			if (tagged.length > 0)
				if (confirm(config.renameTags.prompts.remove.format([title,tagged.length,tagged.length>1?"s":""])))
					config.renameTags.removeTag(title,tagged);
			return this.removeTiddler_orig_renameTags(title);
		}

	},

	init: function() {
		merge(TiddlyWiki.prototype,this.storeMethods);
	}
}

config.renameTags.init();

//}}}

My research focuses on [[geometry|http://en.wikipedia.org/wiki/Geometry]] and [[topology|http://en.wikipedia.org/wiki/Topology]] of [[algebraic varieties|http://en.wikipedia.org/wiki/Algebraic_variety]].  Roughly speaking, an algebraic variety is the set of (simultaneous) solutions of some collection of [[polynomial|http://en.wikipedia.org/wiki/Polynomial]] equations, e.g, the $2$-dimensional [[sphere|http://en.wikipedia.org/wiki/Sphere]] can be realized as the set of [[real number|http://en.wikipedia.org/wiki/Real_number]] solutions to the equation $x^2 + y^2 + z^2 = 1$.  More generally, one may assume the coefficients of the equations are elements of algebraic structures more general than the real numbers, e.g., [[fields|http://en.wikipedia.org/wiki/Field_(mathematics)]] or [[commutative rings|http://en.wikipedia.org/wiki/Commutative_ring]].  One can then study solutions to the equations taking values in the same structures.  A key problem is to ``understand" this set of solutions in some way.  A classical problem in this direction is: determine when (almost all) the solutions to a given system of equations can be [[rationally parameterized|http://en.wikipedia.org/wiki/Rational_variety]].

For algebraic varieties defined over the fields ${\mathbb R}$ or ${\mathbb C}$ of [[real|http://en.wikipedia.org/wiki/Real_number]] or [[complex numbers|http://en.wikipedia.org/wiki/Complex_number]], the solution sets are geometric objects and one can use [[algebraic topology|http://en.wikipedia.org/wiki/Algebraic_topology]] to study their structure (e.g., the aformentioned parameterization problem).  For example, one can count the number of [[holes (or higher dimensional analogs)|http://en.wikipedia.org/wiki/Betti_number]] in such an algebraic variety.  For algebraic varieties over [[finite fields|http://en.wikipedia.org/wiki/Finite_field]], or more general fields of [[less inherently geometric nature|http://en.wikipedia.org/wiki/Characteristic_(algebra)]], one can introduce different techniques inspired by ideas from [[number theory|http://en.wikipedia.org/wiki/Number_theory]] (//e.g.//, [[étale cohomology|http://en.wikipedia.org/wiki/%C3%89tale_cohomology]] introduced by [[Alexander Grothendieck|http://en.wikipedia.org/wiki/Grothendieck]]).  For example, one might [[count the number of solutions|http://en.wikipedia.org/wiki/Weil_conjectures]] to a given set of equations with prescribed divisibility properties.  Motivic or ${\mathbb A}^1$[[-homotopy theory|http://en.wikipedia.org/wiki/A%C2%B9_homotopy_theory]], developed by [[Fabien Morel|http://www.mathematik.uni-muenchen.de/personen/morel.php]] and [[Vladimir Voevodsky|http://en.wikipedia.org/wiki/Vladimir_Voevodsky]], is a theory designed to supply the full power of [[homotopy theory|http://en.wikipedia.org/wiki/Homotopy_theory]] to the study of arbitrary algebraic varieties.  One key objective of this theory is to provide a unified study of the [[arithmetic, geometric|http://en.wikipedia.org/wiki/Motive_(algebraic_geometry)]] and [[topological|http://en.wikipedia.org/wiki/Cohomology_theory]] properties of such objects.

For more information see:
* ''[[Preprints, Publications and other notes|Preprints and Publications]]''
* ''[[Motivic or A¹-homotopy theory resource page|http://a1homotopy.tiddlyspot.com]]''
* ''[[Algebraic Geometry in Southern California|http://sites.google.com/site/socalags/]]''
/***
|Name:|SaveCloseTiddlerPlugin|
|Description:|Provides two extra toolbar commands, saveCloseTiddler and cancelCloseTiddler|
|Version:|3.0 ($Rev: 5502 $)|
|Date:|$Date: 2008-06-10 23:31:39 +1000 (Tue, 10 Jun 2008) $|
|Source:|http://mptw.tiddlyspot.com/#SaveCloseTiddlerPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
To use these you must add them to the tool bar in your EditTemplate
***/
//{{{
merge(config.commands,{

	saveCloseTiddler: {
		text: 'done/close',
		tooltip: 'Save changes to this tiddler and close it',
		handler: function(ev,src,title) {
			var closeTitle = title;
			var newTitle = story.saveTiddler(title,ev.shiftKey);
			if (newTitle)
				closeTitle = newTitle;
			return config.commands.closeTiddler.handler(ev,src,closeTitle);
		}
	},

	cancelCloseTiddler: {
		text: 'cancel/close',
		tooltip: 'Undo changes to this tiddler and close it',
		handler: function(ev,src,title) {
			// the same as closeTiddler now actually
			return config.commands.closeTiddler.handler(ev,src,title);
		}
	}

});

//}}}

/***
|Name:|SelectThemePlugin|
|Description:|Lets you easily switch theme and palette|
|Version:|1.0 ($Rev: 3646 $)|
|Date:|$Date: 2008-02-27 02:34:38 +1000 (Wed, 27 Feb 2008) $|
|Source:|http://mptw.tiddlyspot.com/#SelectThemePlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
!Notes
* Borrows largely from ThemeSwitcherPlugin by Martin Budden http://www.martinswiki.com/#ThemeSwitcherPlugin
* Theme is cookie based. But set a default by setting config.options.txtTheme in MptwConfigPlugin (for example)
* Palette is not cookie based. It actually overwrites your ColorPalette tiddler when you select a palette, so beware.
!Usage
* {{{<<selectTheme>>}}} makes a dropdown selector
* {{{<<selectPalette>>}}} makes a dropdown selector
* {{{<<applyTheme>>}}} applies the current tiddler as a theme
* {{{<<applyPalette>>}}} applies the current tiddler as a palette
* {{{<<applyTheme TiddlerName>>}}} applies TiddlerName as a theme
* {{{<<applyPalette TiddlerName>>}}} applies TiddlerName as a palette
***/
//{{{

config.macros.selectTheme = {
	label: {
      		selectTheme:"select theme",
      		selectPalette:"select palette"
	},
	prompt: {
		selectTheme:"Select the current theme",
		selectPalette:"Select the current palette"
	},
	tags: {
		selectTheme:'systemTheme',
		selectPalette:'systemPalette'
	}
};

config.macros.selectTheme.handler = function(place,macroName)
{
	var btn = createTiddlyButton(place,this.label[macroName],this.prompt[macroName],this.onClick);
	// want to handle palettes and themes with same code. use mode attribute to distinguish
	btn.setAttribute('mode',macroName);
};

config.macros.selectTheme.onClick = function(ev)
{
	var e = ev ? ev : window.event;
	var popup = Popup.create(this);
	var mode = this.getAttribute('mode');
	var tiddlers = store.getTaggedTiddlers(config.macros.selectTheme.tags[mode]);
	// for default
	if (mode == "selectPalette") {
		var btn = createTiddlyButton(createTiddlyElement(popup,'li'),"(default)","default color palette",config.macros.selectTheme.onClickTheme);
		btn.setAttribute('theme',"(default)");
		btn.setAttribute('mode',mode);
	}
	for(var i=0; i<tiddlers.length; i++) {
		var t = tiddlers[i].title;
		var name = store.getTiddlerSlice(t,'Name');
		var desc = store.getTiddlerSlice(t,'Description');
		var btn = createTiddlyButton(createTiddlyElement(popup,'li'),name ? name : title,desc ? desc : config.macros.selectTheme.label['mode'],config.macros.selectTheme.onClickTheme);
		btn.setAttribute('theme',t);
		btn.setAttribute('mode',mode);
	}
	Popup.show();
	return stopEvent(e);
};

config.macros.selectTheme.onClickTheme = function(ev)
{
	var mode = this.getAttribute('mode');
	var theme = this.getAttribute('theme');
	if (mode == 'selectTheme')
		story.switchTheme(theme);
	else // selectPalette
		config.macros.selectTheme.updatePalette(theme);
	return false;
};

config.macros.selectTheme.updatePalette = function(title)
{
	if (title != "") {
		store.deleteTiddler("ColorPalette");
		if (title != "(default)")
			store.saveTiddler("ColorPalette","ColorPalette",store.getTiddlerText(title),
					config.options.txtUserName,undefined,"");
		refreshAll();
		if(config.options.chkAutoSave)
			saveChanges(true);
	}
};

config.macros.applyTheme = {
	label: "apply",
	prompt: "apply this theme or palette" // i'm lazy
};

config.macros.applyTheme.handler = function(place,macroName,params,wikifier,paramString,tiddler) {
	var useTiddler = params[0] ? params[0] : tiddler.title;
	var btn = createTiddlyButton(place,this.label,this.prompt,config.macros.selectTheme.onClickTheme);
	btn.setAttribute('theme',useTiddler);
	btn.setAttribute('mode',macroName=="applyTheme"?"selectTheme":"selectPalette"); // a bit untidy here
}

config.macros.selectPalette = config.macros.selectTheme;
config.macros.applyPalette = config.macros.applyTheme;

config.macros.refreshAll = { handler: function(place,macroName,params,wikifier,paramString,tiddler) {
	createTiddlyButton(place,"refresh","refresh layout and styles",function() { refreshAll(); });
}};

//}}}

[>img[Aravind Asok|webjpgs/selfpicsmall.jpg]]
''Employment and Education''
2009 - Assistant Professor (TT, [[University of Southern California|http://math.usc.edu]], Los Angeles, CA)
Spring 2009 - MSRI Postdoctoral Fellow ([[Mathematical Sciences Research Institute|http://www.msri.org]], Berkeley, CA)
2008-2009 Hedrick Assistant Professor ([[University of California at Los Angeles|http://www.math.ucla.edu]], Los Angeles, CA)
2005-2008 - VIGRE Acting Assistant Professor ([[University of Washington|http://www.math.washington.edu]], Seattle, WA)
2004-2005 - EPSRC Postdoctoral Fellow ([[University of Oxford|http://www.maths.ox.ac.uk]], Oxford, England)
2004 - Ph.D. in Mathematics ([[Princeton University|http://www.math.princeton.edu/]], Princeton, NJ) Dissertation supervised by [[Bob MacPherson|http://www.math.ias.edu/people/faculty/rdm]]
Thesis entitled: //Geometry of simple $G$-varieties//

''Research Interests''
Group actions on and topology of algebraic varieties, representation theory, ${\mathbb A}^1$-homotopy theory

''Collaborators''
[[Brent Doran|http://www.math.ias.edu/~brdoran]], [[Christian Haesemeyer|http://www.math.ucla.edu/~chh]], [[Frances Kirwan|http://www.maths.ox.ac.uk/contact/details/kirwan]], [[Fabien Morel|http://www.mathematik.uni-muenchen.de/~morel/webpage.html]], [[James Parson|http://www.hood.edu/Academics/Departments/Mathematics/Faculty-Profiles/James-Parson.html]]
Assistant Professor
Aravind Asok
* co-author(s): Fabien Morel
* Additional Information: //v. 7 Apr 2011// -  Adv. Math. 2011, 227 (5) pp. 1990-2058
* Availability: [[ArXiv|http://arxiv.org/abs/0810.0324]],[[PDF|papers/hcobordismsRevPost7Apr2011.pdf]],[[Journal|http://www.sciencedirect.com/science?_ob=ArticleURL&_udi=B6W9F-52RPFNK-1&_user=1181656&_coverDate=04%2F30%2F2011&_rdoc=1&_fmt=high&_orig=browse&_origin=browse&_zone=rslt_list_item&_srch=doc-info(%23toc%236681%239999%23999999999%2399999%23FLA%23display%23Articles)&_cdi=6681&_sort=d&_docanchor=&_ct=31&_acct=C000051901&_version=1&_urlVersion=0&_userid=1181656&md5=7ebe9b34ba4ebf6e0ccbe9a5bf3db139&searchtype=a]]
* ''Abstract'':
We start to study the problem of classifying smooth proper varieties over a field $k$ from the standpoint of ${\mathbb A}^1$-homotopy theory.  Motivated by the topological theory of surgery, we discuss the problem of classifying up to isomorphism all smooth proper varieties having a specified ${\mathbb A}^1$-homotopy type.  Arithmetic considerations involving the sheaf of ${\mathbb A}^1$-connected components lead us to introduce several different notions of connectedness in ${\mathbb A}^1$-homotopy theory.  We provide concrete links between these notions, connectedness of points by chains of affine lines, and various rationality properties of algebraic varieties (e.g., rational connectedness).

We introduce the notion of an ${\mathbb A}^1$-$h$-cobordism, an algebro-geometric analog of the topological notion of $h$-cobordism, and use it as a tool to produce non-trivial ${\mathbb A}^1$-weak equivalences of smooth proper varieties.  Also, we give explicit computations of refined ${\mathbb A}^1$-homotopy invariants, such as the ${\mathbb A}^1$-fundamental sheaf of groups, for some ${\mathbb A}^1$-connected varieties.  We observe that the ${\mathbb A}^1$-fundamental sheaf of groups plays a central yet mysterious role in the structure of ${\mathbb A}^1$-$h$-cobordisms.  As a consequence of these observations, we completely solve the classification problem for rational smooth proper surfaces over an algebraically closed field: while there exist arbitrary dimensional moduli of such surfaces, there are only countably many ${\mathbb A}^1$-homotopy types, each uniquely determined by the isomorphism class of its ${\mathbb A}^1$-fundamental sheaf of groups.
* Additional Information: //Preprint v. 22 Oct 2011 - To appear J. Top//
* Availability: [[ArXiv|http://arxiv.org/abs/1103.1723]],[[PDF|papers/threefoldsv22Oct2012.pdf]]
* ''Abstract'':
We study aspects of the ${\mathbb A}^1$-homotopy classification problem in dimensions $\geq 3$ and, to this end, we investigate the ${\mathbb A}^1$-homotopy groups of some ${\mathbb A}^1$-connected smooth varieties of dimension $\geq 3$.  We construct pairs of ${\mathbb A}^1$-connected smooth proper varieties all of whose ${\mathbb A}^1$-homotopy groups are abstractly isomorphic, yet which are not ${\mathbb A}^1$-weakly equivalent.  The examples come from pairs of Zariski locally trivial projective space bundles over projective spaces and are of the smallest possible dimension.

Projectivizations of vector bundles give rise to ${\mathbb A}^1$-fiber sequences, and when the base of the fibration is a smooth ${\mathbb A}^1$-connected variety, the associated long exact sequence of ${\mathbb A}^1$-homotopy groups can be analyzed in detail.  In the case of the projectivization of a rank $2$ vector bundle, the structure of the ${\mathbb A}^1$-fundamental group depends on the splitting behavior of the vector bundle via a certain obstruction class.  For projective bundles of vector bundles of rank $\geq 3$, the ${\mathbb A}^1$-fundamental group is insensitive to the splitting behavior of the vector bundle, but the structure of higher ${\mathbb A}^1$-homotopy groups is influenced by an appropriately defined higher obstruction class.
* co-authors: Jean Fasel
* Additional Information: //Preprint v. 5 Nov 2012;// Comments welcome!
* Availability: [[ArXiv|http://arxiv.org/abs/1209.5631]],[[PDF|papers/splittingproblemsv31Oct2012.pdf]]
* ''Abstract'': We discuss the relationship between the ${\mathbb A}^1$-homotopy sheaves of ${\mathbb A}^n\ 0$ and the problem of splitting off a trivial rank $1$ summand from a rank n-vector bundle. We begin by computing the third ${\mathbb A}^1$-homotopy sheaf of ${\mathbb A}^3 \ 0$, and providing a host of related computations of "non-stable" ${\mathbb A}^1$-homotopy sheaves. We then use our computation to deduce that a rank 3 vector bundle on a smooth affine 4-fold over an algebraically closed field having characteristic unequal to 2 splits off a trivial rank 1 summand if and only if its third Chern class (in Chow theory) is trivial. This result provides a positive answer to a case of a conjecture of M.P. Murthy.
* co-authors: Christian Haesemeyer
* Additional Information: v. 4 Jan 2011 - J Pure Appl Alg 2011 215 (10), pp. 2469-2472
* Availability: [[ArXiv|http://arxiv.org/abs/1011.3186]],[[DVI|papers/Requivalenceandaonehomology4Jan11.dvi]],[[PDF|papers/Requivalenceandaonehomology4Jan11.pdf]],[[Journal|http://dx.doi.org/10.1016/j.jpaa.2011.02.002]]
* ''Abstract'': We prove that existence of a $k$-rational point can be detected by the stable ${\mathbb A}^1$-homotopy category of $S^1$-spectra, or even a ``rationalized" variant of this category.
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  line-height: 125%;
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}
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code.escaped {white-space:nowrap;}

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/* the 'a' is required for IE, otherwise it renders the whole tiddler in bold */
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#sidebarOptions a {margin:0em 0.2em; padding:0.2em 0.3em; display:block;}
#sidebarOptions input {margin:0.4em 0.5em;}
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#sidebarOptions .sliderPanel a {font-weight:bold; display:inline; padding:0;}
#sidebarOptions .sliderPanel input {margin:0 0 .3em 0;}
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#messageArea {position:fixed; top:2em; right:0em; margin:0.5em; padding:0.5em; z-index:2000; _position:absolute;}
.messageToolbar {display:block; text-align:right; padding:0.2em 0.2em 0.2em 0.2em;}
#messageArea a {text-decoration:underline;}

.tiddlerPopupButton {padding:0.2em 0.2em 0.2em 0.2em;}
.popupTiddler {position: absolute; z-index:300; padding:1em 1em 1em 1em; margin:0;}

.popup {position:absolute; z-index:300; font-size:.9em; padding:0; list-style:none; margin:0;}
.popup .popupMessage {padding:0.4em;}
.popup hr {display:block; height:1px; width:auto; padding:0; margin:0.2em 0em;}
.popup li.disabled {padding:0.4em;}
.popup li a {display:block; padding:0.4em; font-weight:normal; cursor:pointer;}
.listBreak {font-size:1px; line-height:1px;}
.listBreak div {margin:2px 0;}

.tabset {padding:1em 0em 0em 0.5em;}
.tab {margin:0em 0em 0em 0.25em; padding:2px;}
.tabContents {padding:0.5em;}
.tabContents ul, .tabContents ol {margin:0; padding:0;}
.txtMainTab .tabContents li {list-style:none;}
.tabContents li.listLink { margin-left:.75em;}

#contentWrapper {display:block;}
#splashScreen {display:none;}

#displayArea {margin:1em 17em 0em 14em;}

.toolbar {text-align:right; font-size:.9em;}

.tiddler {padding:1em 1em 0em 1em;}

.missing .viewer,.missing .title {font-style:italic;}

.title {font-size:1.6em; font-weight:bold;}

.missing .subtitle {display:none;}
.subtitle {font-size:1.1em;}

.tiddler .button {padding:0.2em 0.4em;}

.tagging {margin:0.5em 0.5em 0.5em 0; float:left; display:none;}
.isTag .tagging {display:block;}
.tagged {margin:0.5em; float:right;}
.tagging, .tagged {font-size:0.9em; padding:0.25em;}
.tagging ul, .tagged ul {list-style:none; margin:0.25em; padding:0;}
.tagClear {clear:both;}

.footer {font-size:.9em;}
.footer li {display:inline;}

.annotation {padding:0.5em; margin:0.5em;}

* html .viewer pre {width:99%; padding:0 0 1em 0;}
.viewer {line-height:1.4em; padding-top:0.5em;}
.viewer .button {margin:0em 0.25em; padding:0em 0.25em;}
.viewer blockquote {line-height:1.5em; padding-left:0.8em;margin-left:2.5em;}
.viewer ul, .viewer ol {margin-left:0.5em; padding-left:1.5em;}

.viewer table, table.twtable {border-collapse:collapse; margin:0.8em 1.0em;}
.viewer th, .viewer td, .viewer tr,.viewer caption,.twtable th, .twtable td, .twtable tr,.twtable caption {padding:3px;}
table.listView {font-size:0.85em; margin:0.8em 1.0em;}
table.listView th, table.listView td, table.listView tr {padding:0px 3px 0px 3px;}

.viewer pre {padding:0.5em; margin-left:0.5em; font-size:1.2em; line-height:1.4em; overflow:auto;}
.viewer code {font-size:1.2em; line-height:1.4em;}

.editor {font-size:1.1em;}
.editor input, .editor textarea {display:block; width:100%; font:inherit;}
.editorFooter {padding:0.25em 0em; font-size:.9em;}
.editorFooter .button {padding-top:0px; padding-bottom:0px;}

.fieldsetFix {border:0; padding:0; margin:1px 0px 1px 0px;}

.sparkline {line-height:1em;}
.sparktick {outline:0;}

.zoomer {font-size:1.1em; position:absolute; overflow:hidden;}
.zoomer div {padding:1em;}

* html #backstage {width:99%;}
* html #backstageArea {width:99%;}
#backstageArea {display:none; position:relative; overflow: hidden; z-index:150; padding:0.3em 0.5em 0.3em 0.5em;}
#backstageToolbar {position:relative;}
#backstageArea a {font-weight:bold; margin-left:0.5em; padding:0.3em 0.5em 0.3em 0.5em;}
#backstageButton {display:none; position:absolute; z-index:175; top:0em; right:0em;}
#backstageButton a {padding:0.1em 0.4em 0.1em 0.4em; margin:0.1em 0.1em 0.1em 0.1em;}
#backstage {position:relative; width:100%; z-index:50;}
#backstagePanel {display:none; z-index:100; position:absolute; margin:0em 3em 0em 3em; padding:1em 1em 1em 1em;}
.backstagePanelFooter {padding-top:0.2em; float:right;}
.backstagePanelFooter a {padding:0.2em 0.4em 0.2em 0.4em;}
#backstageCloak {display:none; z-index:20; position:absolute; width:100%; height:100px;}

.whenBackstage {display:none;}
.backstageVisible .whenBackstage {display:block;}
/*}}}*/
/***
StyleSheet for use when a translation requires any css style changes.
This StyleSheet can be used directly by languages such as Chinese, Japanese and Korean which need larger font sizes.
***/
/*{{{*/
body {font-size:1em;}
#sidebarOptions {font-size:1.05em;}
#sidebarOptions a {font-style:normal;}
#sidebarOptions .sliderPanel {font-size:0.95em;}
.subtitle {font-size:0.8em;}
.viewer table.listView {font-size:0.95em;}
/*}}}*/
<<allTags excludeLists>>
<<tabs txtMoreTab "Tags" "All Tags" TabAllTags "Miss" "Missing tiddlers" TabMoreMissing "Orph" "Orphaned tiddlers" TabMoreOrphans "Shad" "Shadowed tiddlers" TabMoreShadowed>>
<<allTags excludeLists [a-z]>>
<<timeline>>
/***
|Name:|TagglyTaggingPlugin|
|Description:|tagglyTagging macro is a replacement for the builtin tagging macro in your ViewTemplate|
|Version:|3.3.1 ($Rev: 6100 $)|
|Date:|$Date: 2008-07-27 01:42:07 +1000 (Sun, 27 Jul 2008) $|
|Source:|http://mptw.tiddlyspot.com/#TagglyTaggingPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
!Notes
See http://mptw.tiddlyspot.com/#TagglyTagging
***/
//{{{

merge(String.prototype,{

	parseTagExpr: function(debug) {

		if (this.trim() == "")
			return "(true)";

		var anyLogicOp = /(!|&&|\|\||\(|\))/g;
		var singleLogicOp = /^(!|&&|\|\||\(|\))$/;

		var spaced = this.
			// because square brackets in templates are no good
			// this means you can use [(With Spaces)] instead of [[With Spaces]]
			replace(/\[\(/g," [[").
			replace(/\)\]/g,"]] ").
			// space things out so we can use readBracketedList. tricky eh?
			replace(anyLogicOp," $1 ");

		var expr = "";

		var tokens = spaced.readBracketedList(false); // false means don't uniq the list. nice one JR!

		for (var i=0;i<tokens.length;i++)
			if (tokens[i].match(singleLogicOp))
				expr += tokens[i];
			else
				expr += "tiddler.tags.contains('%0')".format([tokens[i].replace(/'/,"\\'")]); // fix single quote bug. still have round bracket bug i think

		if (debug)
			alert(expr);

		return '('+expr+')';
	}

});

merge(TiddlyWiki.prototype,{
	getTiddlersByTagExpr: function(tagExpr,sortField) {

		var result = [];

		var expr = tagExpr.parseTagExpr();

		store.forEachTiddler(function(title,tiddler) {
			if (eval(expr))
				result.push(tiddler);
		});

		if(!sortField)
			sortField = "title";

		result.sort(function(a,b) {return a[sortField] < b[sortField] ? -1 : (a[sortField] == b[sortField] ? 0 : +1);});
		
		return result;
	}
});

config.taggly = {

	// for translations
	lingo: {
		labels: {
			asc:        "\u2191", // down arrow
			desc:       "\u2193", // up arrow
			title:      "title",
			modified:   "modified",
			created:    "created",
			show:       "+",
			hide:       "-",
			normal:     "normal",
			group:      "group",
			commas:     "commas",
			sitemap:    "sitemap",
			numCols:    "cols\u00b1", // plus minus sign
			label:      "Tagged as '%0':",
			exprLabel:  "Matching tag expression '%0':",
			excerpts:   "excerpts",
			descr:      "descr",
			slices:     "slices",
			contents:   "contents",
			sliders:    "sliders",
			noexcerpts: "title only",
			noneFound:  "(none)"
		},

		tooltips: {
			title:      "Click to sort by title",
			modified:   "Click to sort by modified date",
			created:    "Click to sort by created date",
			show:       "Click to show tagging list",
			hide:       "Click to hide tagging list",
			normal:     "Click to show a normal ungrouped list",
			group:      "Click to show list grouped by tag",
			sitemap:    "Click to show a sitemap style list",
			commas:     "Click to show a comma separated list",
			numCols:    "Click to change number of columns",
			excerpts:   "Click to show excerpts",
			descr:      "Click to show the description slice",
			slices:     "Click to show all slices",
			contents:   "Click to show entire tiddler contents",
			sliders:    "Click to show tiddler contents in sliders",
			noexcerpts: "Click to show entire title only"
		},

		tooDeepMessage: "* //sitemap too deep...//"
	},

	config: {
		showTaggingCounts: true,
		listOpts: {
			// the first one will be the default
			sortBy:     ["title","modified","created"],
			sortOrder:  ["asc","desc"],
			hideState:  ["show","hide"],
			listMode:   ["normal","group","sitemap","commas"],
			numCols:    ["1","2","3","4","5","6"],
			excerpts:   ["noexcerpts","excerpts","descr","slices","contents","sliders"]
		},
		valuePrefix: "taggly.",
		excludeTags: ["excludeLists","excludeTagging"],
		excerptSize: 50,
		excerptMarker: "/%"+"%/",
		siteMapDepthLimit: 25
	},

	getTagglyOpt: function(title,opt) {
		var val = store.getValue(title,this.config.valuePrefix+opt);
		return val ? val : this.config.listOpts[opt][0];
	},

	setTagglyOpt: function(title,opt,value) {
		if (!store.tiddlerExists(title))
			// create it silently
			store.saveTiddler(title,title,config.views.editor.defaultText.format([title]),config.options.txtUserName,new Date(),"");
		// if value is default then remove it to save space
		return store.setValue(title,
			this.config.valuePrefix+opt,
			value == this.config.listOpts[opt][0] ? null : value);
	},

	getNextValue: function(title,opt) {
		var current = this.getTagglyOpt(title,opt);
		var pos = this.config.listOpts[opt].indexOf(current);
		// a little usability enhancement. actually it doesn't work right for grouped or sitemap
		var limit = (opt == "numCols" ? store.getTiddlersByTagExpr(title).length : this.config.listOpts[opt].length);
		var newPos = (pos + 1) % limit;
		return this.config.listOpts[opt][newPos];
	},

	toggleTagglyOpt: function(title,opt) {
		var newVal = this.getNextValue(title,opt);
		this.setTagglyOpt(title,opt,newVal);
	},

	createListControl: function(place,title,type) {
		var lingo = config.taggly.lingo;
		var label;
		var tooltip;
		var onclick;

		if ((type == "title" || type == "modified" || type == "created")) {
			// "special" controls. a little tricky. derived from sortOrder and sortBy
			label = lingo.labels[type];
			tooltip = lingo.tooltips[type];

			if (this.getTagglyOpt(title,"sortBy") == type) {
				label += lingo.labels[this.getTagglyOpt(title,"sortOrder")];
				onclick = function() {
					config.taggly.toggleTagglyOpt(title,"sortOrder");
					return false;
				}
			}
			else {
				onclick = function() {
					config.taggly.setTagglyOpt(title,"sortBy",type);
					config.taggly.setTagglyOpt(title,"sortOrder",config.taggly.config.listOpts.sortOrder[0]);
					return false;
				}
			}
		}
		else {
			// "regular" controls, nice and simple
			label = lingo.labels[type == "numCols" ? type : this.getNextValue(title,type)];
			tooltip = lingo.tooltips[type == "numCols" ? type : this.getNextValue(title,type)];
			onclick = function() {
				config.taggly.toggleTagglyOpt(title,type);
				return false;
			}
		}

		// hide button because commas don't have columns
		if (!(this.getTagglyOpt(title,"listMode") == "commas" && type == "numCols"))
			createTiddlyButton(place,label,tooltip,onclick,type == "hideState" ? "hidebutton" : "button");
	},

	makeColumns: function(orig,numCols) {
		var listSize = orig.length;
		var colSize = listSize/numCols;
		var remainder = listSize % numCols;

		var upperColsize = colSize;
		var lowerColsize = colSize;

		if (colSize != Math.floor(colSize)) {
			// it's not an exact fit so..
			upperColsize = Math.floor(colSize) + 1;
			lowerColsize = Math.floor(colSize);
		}

		var output = [];
		var c = 0;
		for (var j=0;j<numCols;j++) {
			var singleCol = [];
			var thisSize = j < remainder ? upperColsize : lowerColsize;
			for (var i=0;i<thisSize;i++)
				singleCol.push(orig[c++]);
			output.push(singleCol);
		}

		return output;
	},

	drawTable: function(place,columns,theClass) {
		var newTable = createTiddlyElement(place,"table",null,theClass);
		var newTbody = createTiddlyElement(newTable,"tbody");
		var newTr = createTiddlyElement(newTbody,"tr");
		for (var j=0;j<columns.length;j++) {
			var colOutput = "";
			for (var i=0;i<columns[j].length;i++)
				colOutput += columns[j][i];
			var newTd = createTiddlyElement(newTr,"td",null,"tagglyTagging"); // todo should not need this class
			wikify(colOutput,newTd);
		}
		return newTable;
	},

	createTagglyList: function(place,title,isTagExpr) {
		switch(this.getTagglyOpt(title,"listMode")) {
			case "group":  return this.createTagglyListGrouped(place,title,isTagExpr); break;
			case "normal": return this.createTagglyListNormal(place,title,false,isTagExpr); break;
			case "commas": return this.createTagglyListNormal(place,title,true,isTagExpr); break;
			case "sitemap":return this.createTagglyListSiteMap(place,title,isTagExpr); break;
		}
	},

	getTaggingCount: function(title,isTagExpr) {
		// thanks to Doug Edmunds
		if (this.config.showTaggingCounts) {
			var tagCount = config.taggly.getTiddlers(title,'title',isTagExpr).length;
			if (tagCount > 0)
				return " ("+tagCount+")";
		}
		return "";
	},

	getTiddlers: function(titleOrExpr,sortBy,isTagExpr) {
		return isTagExpr ? store.getTiddlersByTagExpr(titleOrExpr,sortBy) : store.getTaggedTiddlers(titleOrExpr,sortBy);
	},

	getExcerpt: function(inTiddlerTitle,title,indent) {
		if (!indent)
			indent = 1;

		var displayMode = this.getTagglyOpt(inTiddlerTitle,"excerpts");
		var t = store.getTiddler(title);

		if (t && displayMode == "excerpts") {
			var text = t.text.replace(/\n/," ");
			var marker = text.indexOf(this.config.excerptMarker);
			if (marker != -1) {
				return " {{excerpt{<nowiki>" + text.substr(0,marker) + "</nowiki>}}}";
			}
			else if (text.length < this.config.excerptSize) {
				return " {{excerpt{<nowiki>" + t.text + "</nowiki>}}}";
			}
			else {
				return " {{excerpt{<nowiki>" + t.text.substr(0,this.config.excerptSize) + "..." + "</nowiki>}}}";
			}
		}
		else if (t && displayMode == "contents") {
			return "\n{{contents indent"+indent+"{\n" + t.text + "\n}}}";
		}
		else if (t && displayMode == "sliders") {
			return "<slider slide>\n{{contents{\n" + t.text + "\n}}}\n</slider>";
		}
		else if (t && displayMode == "descr") {
			var descr = store.getTiddlerSlice(title,'Description');
			return descr ? " {{excerpt{" + descr  + "}}}" : "";
		}
		else if (t && displayMode == "slices") {
			var result = "";
			var slices = store.calcAllSlices(title);
			for (var s in slices)
				result += "|%0|<nowiki>%1</nowiki>|\n".format([s,slices[s]]);
			return result ? "\n{{excerpt excerptIndent{\n" + result  + "}}}" : "";
		}
		return "";
	},

	notHidden: function(t,inTiddler) {
		if (typeof t == "string")
			t = store.getTiddler(t);
		return (!t || !t.tags.containsAny(this.config.excludeTags) ||
				(inTiddler && this.config.excludeTags.contains(inTiddler)));
	},

	// this is for normal and commas mode
	createTagglyListNormal: function(place,title,useCommas,isTagExpr) {

		var list = config.taggly.getTiddlers(title,this.getTagglyOpt(title,"sortBy"),isTagExpr);

		if (this.getTagglyOpt(title,"sortOrder") == "desc")
			list = list.reverse();

		var output = [];
		var first = true;
		for (var i=0;i<list.length;i++) {
			if (this.notHidden(list[i],title)) {
				var countString = this.getTaggingCount(list[i].title);
				var excerpt = this.getExcerpt(title,list[i].title);
				if (useCommas)
					output.push((first ? "" : ", ") + "[[" + list[i].title + "]]" + countString + excerpt);
				else
					output.push("*[[" + list[i].title + "]]" + countString + excerpt + "\n");

				first = false;
			}
		}

		return this.drawTable(place,
			this.makeColumns(output,useCommas ? 1 : parseInt(this.getTagglyOpt(title,"numCols"))),
			useCommas ? "commas" : "normal");
	},

	// this is for the "grouped" mode
	createTagglyListGrouped: function(place,title,isTagExpr) {
		var sortBy = this.getTagglyOpt(title,"sortBy");
		var sortOrder = this.getTagglyOpt(title,"sortOrder");

		var list = config.taggly.getTiddlers(title,sortBy,isTagExpr);

		if (sortOrder == "desc")
			list = list.reverse();

		var leftOvers = []
		for (var i=0;i<list.length;i++)
			leftOvers.push(list[i].title);

		var allTagsHolder = {};
		for (var i=0;i<list.length;i++) {
			for (var j=0;j<list[i].tags.length;j++) {

				if (list[i].tags[j] != title) { // not this tiddler

					if (this.notHidden(list[i].tags[j],title)) {

						if (!allTagsHolder[list[i].tags[j]])
							allTagsHolder[list[i].tags[j]] = "";

						if (this.notHidden(list[i],title)) {
							allTagsHolder[list[i].tags[j]] += "**[["+list[i].title+"]]"
										+ this.getTaggingCount(list[i].title) + this.getExcerpt(title,list[i].title) + "\n";

							leftOvers.setItem(list[i].title,-1); // remove from leftovers. at the end it will contain the leftovers

						}
					}
				}
			}
		}

		var allTags = [];
		for (var t in allTagsHolder)
			allTags.push(t);

		var sortHelper = function(a,b) {
			if (a == b) return 0;
			if (a < b) return -1;
			return 1;
		};

		allTags.sort(function(a,b) {
			var tidA = store.getTiddler(a);
			var tidB = store.getTiddler(b);
			if (sortBy == "title") return sortHelper(a,b);
			else if (!tidA && !tidB) return 0;
			else if (!tidA) return -1;
			else if (!tidB) return +1;
			else return sortHelper(tidA[sortBy],tidB[sortBy]);
		});

		var leftOverOutput = "";
		for (var i=0;i<leftOvers.length;i++)
			if (this.notHidden(leftOvers[i],title))
				leftOverOutput += "*[["+leftOvers[i]+"]]" + this.getTaggingCount(leftOvers[i]) + this.getExcerpt(title,leftOvers[i]) + "\n";

		var output = [];

		if (sortOrder == "desc")
			allTags.reverse();
		else if (leftOverOutput != "")
			// leftovers first...
			output.push(leftOverOutput);

		for (var i=0;i<allTags.length;i++)
			if (allTagsHolder[allTags[i]] != "")
				output.push("*[["+allTags[i]+"]]" + this.getTaggingCount(allTags[i]) + this.getExcerpt(title,allTags[i]) + "\n" + allTagsHolder[allTags[i]]);

		if (sortOrder == "desc" && leftOverOutput != "")
			// leftovers last...
			output.push(leftOverOutput);

		return this.drawTable(place,
				this.makeColumns(output,parseInt(this.getTagglyOpt(title,"numCols"))),
				"grouped");

	},

	// used to build site map
	treeTraverse: function(title,depth,sortBy,sortOrder,isTagExpr) {

		var list = config.taggly.getTiddlers(title,sortBy,isTagExpr);

		if (sortOrder == "desc")
			list.reverse();

		var indent = "";
		for (var j=0;j<depth;j++)
			indent += "*"

		var childOutput = "";

		if (depth > this.config.siteMapDepthLimit)
			childOutput += indent + this.lingo.tooDeepMessage;
		else
			for (var i=0;i<list.length;i++)
				if (list[i].title != title)
					if (this.notHidden(list[i].title,this.config.inTiddler))
						childOutput += this.treeTraverse(list[i].title,depth+1,sortBy,sortOrder,false);

		if (depth == 0)
			return childOutput;
		else
			return indent + "[["+title+"]]" + this.getTaggingCount(title) + this.getExcerpt(this.config.inTiddler,title,depth) + "\n" + childOutput;
	},

	// this if for the site map mode
	createTagglyListSiteMap: function(place,title,isTagExpr) {
		this.config.inTiddler = title; // nasty. should pass it in to traverse probably
		var output = this.treeTraverse(title,0,this.getTagglyOpt(title,"sortBy"),this.getTagglyOpt(title,"sortOrder"),isTagExpr);
		return this.drawTable(place,
				this.makeColumns(output.split(/(?=^\*\[)/m),parseInt(this.getTagglyOpt(title,"numCols"))), // regexp magic
				"sitemap"
				);
	},

	macros: {
		tagglyTagging: {
			handler: function (place,macroName,params,wikifier,paramString,tiddler) {
				var parsedParams = paramString.parseParams("tag",null,true);
				var refreshContainer = createTiddlyElement(place,"div");

				// do some refresh magic to make it keep the list fresh - thanks Saq
				refreshContainer.setAttribute("refresh","macro");
				refreshContainer.setAttribute("macroName",macroName);

				var tag = getParam(parsedParams,"tag");
				var expr = getParam(parsedParams,"expr");

				if (expr) {
					refreshContainer.setAttribute("isTagExpr","true");
					refreshContainer.setAttribute("title",expr);
					refreshContainer.setAttribute("showEmpty","true");
				}
				else {
					refreshContainer.setAttribute("isTagExpr","false");
					if (tag) {
        				refreshContainer.setAttribute("title",tag);
						refreshContainer.setAttribute("showEmpty","true");
					}
					else {
        				refreshContainer.setAttribute("title",tiddler.title);
						refreshContainer.setAttribute("showEmpty","false");
					}
				}
				this.refresh(refreshContainer);
			},

			refresh: function(place) {
				var title = place.getAttribute("title");
				var isTagExpr = place.getAttribute("isTagExpr") == "true";
				var showEmpty = place.getAttribute("showEmpty") == "true";
				removeChildren(place);
				addClass(place,"tagglyTagging");
				var countFound = config.taggly.getTiddlers(title,'title',isTagExpr).length
				if (countFound > 0 || showEmpty) {
					var lingo = config.taggly.lingo;
					config.taggly.createListControl(place,title,"hideState");
					if (config.taggly.getTagglyOpt(title,"hideState") == "show") {
						createTiddlyElement(place,"span",null,"tagglyLabel",
								isTagExpr ? lingo.labels.exprLabel.format([title]) : lingo.labels.label.format([title]));
						config.taggly.createListControl(place,title,"title");
						config.taggly.createListControl(place,title,"modified");
						config.taggly.createListControl(place,title,"created");
						config.taggly.createListControl(place,title,"listMode");
						config.taggly.createListControl(place,title,"excerpts");
						config.taggly.createListControl(place,title,"numCols");
						config.taggly.createTagglyList(place,title,isTagExpr);
						if (countFound == 0 && showEmpty)
							createTiddlyElement(place,"div",null,"tagglyNoneFound",lingo.labels.noneFound);
					}
				}
			}
		}
	},

	// todo fix these up a bit
	styles: [
"/*{{{*/",
"/* created by TagglyTaggingPlugin */",
".tagglyTagging { padding-top:0.5em; }",
".tagglyTagging li.listTitle { display:none; }",
".tagglyTagging ul {",
"	margin-top:0px; padding-top:0.5em; padding-left:2em;",
"	margin-bottom:0px; padding-bottom:0px;",
"}",
".tagglyTagging { vertical-align: top; margin:0px; padding:0px; }",
".tagglyTagging table { margin:0px; padding:0px; }",
".tagglyTagging .button { visibility:hidden; margin-left:3px; margin-right:3px; }",
".tagglyTagging .button, .tagglyTagging .hidebutton {",
"	color:[[ColorPalette::TertiaryLight]]; font-size:90%;",
"	border:0px; padding-left:0.3em;padding-right:0.3em;",
"}",
".tagglyTagging .button:hover, .hidebutton:hover, ",
".tagglyTagging .button:active, .hidebutton:active  {",
"	border:0px; background:[[ColorPalette::TertiaryPale]]; color:[[ColorPalette::TertiaryDark]];",
"}",
".selected .tagglyTagging .button { visibility:visible; }",
".tagglyTagging .hidebutton { color:[[ColorPalette::Background]]; }",
".selected .tagglyTagging .hidebutton { color:[[ColorPalette::TertiaryLight]] }",
".tagglyLabel { color:[[ColorPalette::TertiaryMid]]; font-size:90%; }",
".tagglyTagging ul {padding-top:0px; padding-bottom:0.5em; margin-left:1em; }",
".tagglyTagging ul ul {list-style-type:disc; margin-left:-1em;}",
".tagglyTagging ul ul li {margin-left:0.5em; }",
".editLabel { font-size:90%; padding-top:0.5em; }",
".tagglyTagging .commas { padding-left:1.8em; }",
"/* not technically tagglytagging but will put them here anyway */",
".tagglyTagged li.listTitle { display:none; }",
".tagglyTagged li { display: inline; font-size:90%; }",
".tagglyTagged ul { margin:0px; padding:0px; }",
".excerpt { color:[[ColorPalette::TertiaryDark]]; }",
".excerptIndent { margin-left:4em; }",
"div.tagglyTagging table,",
"div.tagglyTagging table tr,",
"td.tagglyTagging",
" {border-style:none!important; }",
".tagglyTagging .contents { border-bottom:2px solid [[ColorPalette::TertiaryPale]]; padding:0 1em 1em 0.5em;",
"  margin-bottom:0.5em; }",
".tagglyTagging .indent1  { margin-left:3em;  }",
".tagglyTagging .indent2  { margin-left:4em;  }",
".tagglyTagging .indent3  { margin-left:5em;  }",
".tagglyTagging .indent4  { margin-left:6em;  }",
".tagglyTagging .indent5  { margin-left:7em;  }",
".tagglyTagging .indent6  { margin-left:8em;  }",
".tagglyTagging .indent7  { margin-left:9em;  }",
".tagglyTagging .indent8  { margin-left:10em; }",
".tagglyTagging .indent9  { margin-left:11em; }",
".tagglyTagging .indent10 { margin-left:12em; }",
".tagglyNoneFound { margin-left:2em; color:[[ColorPalette::TertiaryMid]]; font-size:90%; font-style:italic; }",
"/*}}}*/",
		""].join("\n"),

	init: function() {
		merge(config.macros,this.macros);
		config.shadowTiddlers["TagglyTaggingStyles"] = this.styles;
		store.addNotification("TagglyTaggingStyles",refreshStyles);
	}
};

config.taggly.init();

//}}}

/***
InlineSlidersPlugin
By Saq Imtiaz
http://tw.lewcid.org/sandbox/#InlineSlidersPlugin

// syntax adjusted to not clash with NestedSlidersPlugin
// added + syntax to start open instead of closed

***/
//{{{
config.formatters.unshift( {
	name: "inlinesliders",
	// match: "\\+\\+\\+\\+|\\<slider",
	match: "\\<slider",
	// lookaheadRegExp: /(?:\+\+\+\+|<slider) (.*?)(?:>?)\n((?:.|\n)*?)\n(?:====|<\/slider>)/mg,
	lookaheadRegExp: /(?:<slider)(\+?) (.*?)(?:>)\n((?:.|\n)*?)\n(?:<\/slider>)/mg,
	handler: function(w) {
		this.lookaheadRegExp.lastIndex = w.matchStart;
		var lookaheadMatch = this.lookaheadRegExp.exec(w.source)
		if(lookaheadMatch && lookaheadMatch.index == w.matchStart ) {
			var btn = createTiddlyButton(w.output,lookaheadMatch[2] + " "+"\u00BB",lookaheadMatch[2],this.onClickSlider,"button sliderButton");
			var panel = createTiddlyElement(w.output,"div",null,"sliderPanel");
			panel.style.display = (lookaheadMatch[1] == '+' ? "block" : "none");
			wikify(lookaheadMatch[3],panel);
			w.nextMatch = lookaheadMatch.index + lookaheadMatch[0].length;
		}
   },
   onClickSlider : function(e) {
		if(!e) var e = window.event;
		var n = this.nextSibling;
		n.style.display = (n.style.display=="none") ? "block" : "none";
		return false;
	}
});

//}}}

!!! Current semester
* Fall 2013 - [[Math 226|http://www-bcf.usc.edu/~asok/226.13f.html]]
!!! Previous Semesters
* Spring 2013 - On leave
* Fall 2012 - On leave
* Spring 2012
** [[Math 370|http://www-bcf.usc.edu/~asok/370.12s.html]]
** [[Math 471|http://www-bcf.usc.edu/~asok/471.12s.html]]
* Fall 2011 - [[Math 410|http://www-bcf.usc.edu/~asok/410.11f.html]]
* Spring 2011 - [[Math 471|http://www-bcf.usc.edu/~asok/471.11s.html]]
* Fall 2010 - [[Math 410|http://www-bcf.usc.edu/~asok/410.10f.html]]
* Spring 2010 - Math 599
* Fall 2009 - [[Math 126|http://www-rcf.usc.edu/~asok/126.09f.html]]
* co-authors: Christian Haesemeyer
* Additional Information: //Preprint v. 18 Aug 2011;// Comments welcome!
* Availability: [[ArXiv|http://arxiv.org/abs/1108.....]],[[PDF|papers/stablehomotopyandquadratic0cyclesv18Aug11.pdf]]
* ''Abstract'': We study the $0$-th stable ${\mathbb A}^1$-homotopy sheaf of a smooth proper variety over a field $k$ assumed to be infinite, perfect and to have characteristic unequal to $2$.  We provide an explicit description of this sheaf in terms of the theory of (twisted) Chow-Witt groups as defined by Barge-Morel and developed by Fasel.  We study the notion of rational point up to stable ${\mathbb A}^1$-homotopy, defined in terms of the stable ${\mathbb A}^1$-homotopy sheaf of groups mentioned above.  We show that, for a smooth proper $k$-variety $X$, existence of a rational point up to stable ${\mathbb A}^1$-homotopy is equivalent to existence of a $0$-cycle of degree $1$.
* co-author(s): Brent Doran
* Additional Information: ////Preprint v. 28 Mar 2008////
* Availability:  [[DVI|papers/QuadricsRev2.dvi]], [[PDF|papers/QuadricsRev2.pdf]]
** Significant revision coming soon.
* ''Abstract'':  We produce explicit smooth affine quadric hypersurfaces, smooth over ${\mathrm{Spec}} {\mathbb Z}$, that are [[motivic spheres|motivichomotopy.html#%5B%5BMotivic%20sphere%5D%5D]], i.e., spheres from the standpoint of ${\mathbb A}^1$-homotopy theory. Along the way, we compute various standard invariants for such quadrics (e.g., Chow groups, K-theory, or Hermitian K-theory).
This paper is currently being updated.  We are streamlining the proofs of results and their consequences.  The proof of ${\mathbb A}^1$-contractibility used in the study of even dimensional quadrics is not quite correct for $n > 2$.
/***
|Name:|ToggleTagPlugin|
|Description:|Makes a checkbox which toggles a tag in a tiddler|
|Version:|3.1.0 ($Rev: 4907 $)|
|Date:|$Date: 2008-05-13 03:15:46 +1000 (Tue, 13 May 2008) $|
|Source:|http://mptw.tiddlyspot.com/#ToggleTagPlugin|
|Author:|Simon Baird <simon.baird@gmail.com>|
|License:|http://mptw.tiddlyspot.com/#TheBSDLicense|
!!Usage
{{{<<toggleTag }}}//{{{TagName TiddlerName LabelText}}}//{{{>>}}}
* TagName - the tag to be toggled, default value "checked"
* TiddlerName - the tiddler to toggle the tag in, default value the current tiddler
* LabelText - the text (gets wikified) to put next to the check box, default value is '{{{[[TagName]]}}}' or '{{{[[TagName]] [[TiddlerName]]}}}'
(If a parameter is '.' then the default will be used)
* TouchMod flag - if non empty then touch the tiddlers mod date. Note, can set config.toggleTagAlwaysTouchModDate to always touch mod date
!!Examples
|Code|Description|Example|h
|{{{<<toggleTag>>}}}|Toggles the default tag (checked) in this tiddler|<<toggleTag>>|
|{{{<<toggleTag TagName>>}}}|Toggles the TagName tag in this tiddler|<<toggleTag TagName>>|
|{{{<<toggleTag TagName TiddlerName>>}}}|Toggles the TagName tag in the TiddlerName tiddler|<<toggleTag TagName TiddlerName>>|
|{{{<<toggleTag TagName TiddlerName 'click me'>>}}}|Same but with custom label|<<toggleTag TagName TiddlerName 'click me'>>|
|{{{<<toggleTag . . 'click me'>>}}}|dot means use default value|<<toggleTag . . 'click me'>>|
!!Notes
* If TiddlerName doesn't exist it will be silently created
* Set label to '-' to specify no label
* See also http://mgtd-alpha.tiddlyspot.com/#ToggleTag2
!!Known issues
* Doesn't smoothly handle the case where you toggle a tag in a tiddler that is current open for editing
* Should convert to use named params
***/
//{{{

if (config.toggleTagAlwaysTouchModDate == undefined) config.toggleTagAlwaysTouchModDate = false;

merge(config.macros,{

	toggleTag: {

		createIfRequired: true,
		shortLabel: "[[%0]]",
		longLabel: "[[%0]] [[%1]]",

		handler: function(place,macroName,params,wikifier,paramString,tiddler) {
			var tiddlerTitle = tiddler ? tiddler.title : '';
			var tag   = (params[0] && params[0] != '.') ? params[0] : "checked";
			var title = (params[1] && params[1] != '.') ? params[1] : tiddlerTitle;
			var defaultLabel = (title == tiddlerTitle ? this.shortLabel : this.longLabel);
			var label = (params[2] && params[2] != '.') ? params[2] : defaultLabel;
			var touchMod = (params[3] && params[3] != '.') ? params[3] : "";
			label = (label == '-' ? '' : label); // dash means no label
			var theTiddler = (title == tiddlerTitle ? tiddler : store.getTiddler(title));
			var cb = createTiddlyCheckbox(place, label.format([tag,title]), theTiddler && theTiddler.isTagged(tag), function(e) {
				if (!store.tiddlerExists(title)) {
					if (config.macros.toggleTag.createIfRequired) {
						var content = store.getTiddlerText(title); // just in case it's a shadow
						store.saveTiddler(title,title,content?content:"",config.options.txtUserName,new Date(),null);
					}
					else
						return false;
				}
				if ((touchMod != "" || config.toggleTagAlwaysTouchModDate) && theTiddler)
						theTiddler.modified = new Date();
				store.setTiddlerTag(title,this.checked,tag);
				return true;
			});
		}
	}
});

//}}}

* co-authors: Jean Fasel
* Additional Information: //[[Oberwolfach Report//
* Availability: [[PDF|papers/pinanminus0OWR.pdf]]
* ''Abstract'': This document is an extended abstract for a talk at the Oberwolfach session ``Algebraic K-theory and motivic cohomology" in June 2013.
<html><center><IMG SRC = "webjpgs/Gadget_01.jpg" WIDTH = 580></center></html>
<html><center><U>Classification of orientable surfaces</U>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_10.jpg" HEIGHT = 500></center></html>
<html><center><u>Pinched tori and two banana spaces</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_11.jpg" WIDTH = 580></center></html>
<html><center><u>Aravind's picture</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_12.jpg" HEIGHT = 500></center></html>
<html><center><u>Hopf fibration</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_13.jpg" WIDTH = 580></center></html>
<html><center><u>Hopf fibration</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_14.jpg" WIDTH = 580></center></html>
<html><center><u>Elliptic lattice</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_15.jpg" WIDTH = 580></center></html>
<html><center><u>Mayer-Vietoris exactness</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_16.jpg" WIDTH = 580></center></html>
<html><center><u>Towards a universal gadget</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_02.jpg" WIDTH = 580></center></html>
<html><center><u>The winding number</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_03.jpg" WIDTH = 610></center></html>
<html><center><u>Hopf fibration</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_04.jpg" WIDTH = 580></center></html>
<html><center><u>Hopf fibration</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_05.jpg" WIDTH = 580></center></html>
<html><center><u>Hopf fibration</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_06.jpg" WIDTH = 580></center></html>
<html><center><u>Homage a J.J. or stereographic projection</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_07.jpg" WIDTH = 580></center></html>
<html><center><u>Hopf fibration</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_08.jpg" WIDTH = 580></center></html>
<html><center><u>Monodromy</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
<html><center><IMG SRC = "webjpgs/Gadget_09.jpg" WIDTH = 580></center></html>
<html><center><u>Monodromy</u>, <b><a href = "http://www.lunyitsai.com">Lun-Yi Tsai</a></b> (Miami, FL)</center></html>
!!! The show
Lun- Yi Tsai's show at Shoreline community college was entitled //Transition Gadgets//.  For more of his writings on art, life, etc., see his [[blog|http://dimostrazioni.blogspot.com/]].  The show consisted of sixteen [[encaustic paintings|http://en.wikipedia.org/wiki/Encaustic_painting]] based on conversations pertaining to mathematics.  I wrote two paragraphs for the [[press release|http://www.lunyitsai.com/pdfs/Tsai_Lun-Yi_ShorelineArtGallery_PR.pdf]] for this show.

``Lun- Yi Tsai’s most recent art explores the process of mathematics. To many people, this process consists of the formal manipulation of algebraic equations or the writing of proofs in plane geometry. While mathematicians often do write proofs, study geometry and perform formal manipulations, they don’t usually study ideas that are explained in a few lines. On the other hand, mathematicians often do use elementary pictures to guide their investigations and motivate their proofs. Lun- Yi’s latest work is inspired (in part) by our discussions about the evolution of the mathematical conception of space, and by the simple pictures I drew in an attempt to illustrate the concepts at hand.

``The classic Chinese work ‘[[The Nine Chapters on the Mathematical Art|http://en.wikipedia.org/wiki/The_Nine_Chapters_on_the_Mathematical_Art]]’ (1000-200 BCE) explains nine mathematical concepts in the form: (i) statement of the problem, (ii) statement of the solution, and finally (iii) explanation of the solution. Perhaps mirroring this construction, these new pieces begin with a ‘problem,’ the paper transcription of a mathematical lecture, on top of which Lun- Yi’s beautiful encaustic ‘solutions’ are superimposed. What remains is for the observer to provide the explanation of these ‘Transition Gadgets.’ One might call them ‘Sixteen Encaustics on the Mathematical Process.’"

!!! The images

Here are images of the actual encaustics (presented with permission of the artist).  Contact [[Lun-Yi|http://www.lunyitsai.com/contact.htm]] for more information.

[img[webjpgs/Gadget_01thumb.jpg][Transition Gadget #1]] [img[webjpgs/Gadget_02thumb.jpg][Transition Gadget #2]] [img[webjpgs/Gadget_03thumb.jpg][Transition Gadget #3]] [img[webjpgs/Gadget_04thumb.jpg][Transition Gadget #4]] [img[webjpgs/Gadget_05thumb.jpg][Transition Gadget #5]] [img[webjpgs/Gadget_06thumb.jpg][Transition Gadget #6]] [img[webjpgs/Gadget_07thumb.jpg][Transition Gadget #7]] [img[webjpgs/Gadget_08thumb.jpg][Transition Gadget #8]]

[img[webjpgs/Gadget_09thumb.jpg][Transition Gadget #9]] [img[webjpgs/Gadget_10thumb.jpg][Transition Gadget #10]] [img[webjpgs/Gadget_11thumb.jpg][Transition Gadget #11]] [img[webjpgs/Gadget_12thumb.jpg][Transition Gadget #12]] [img[webjpgs/Gadget_13thumb.jpg][Transition Gadget #13]] [img[webjpgs/Gadget_14thumb.jpg][Transition Gadget #14]]  [img[webjpgs/Gadget_15thumb.jpg][Transition Gadget #15]] [img[webjpgs/Gadget_16thumb.jpg][Transition Gadget #16]]
<html><center><iframe src="http://www.google.com/calendar/embed?mode=AGENDA&amp;height=600&amp;wkst=1&amp;bgcolor=%23cc0000&amp;src=mtpfll0ip3f8v1735cve8u4dq4%40group.calendar.google.com&amp;color=%23AB8B00&amp;ctz=America%2FLos_Angeles" style=" border:solid 1px #777 " width="800" height="600" frameborder="0" scrolling="no"></iframe></center></html>
<html>
<center>
<div id = "clustrback" style="margin: 0 auto; width:160px; height:152px;  background:#ffffff url(http://clustrmaps.com/admin/3d/images/style3_gradient_white.png)  center no-repeat; text-align:center;">
  <a href="http://www2.clustrmaps.com/counter/maps.php?url=http://www-rcf.usc.edu/~asok/index.html" style="width:160px; display:block; margin:0 auto;" id="clustrMapsLink">
    <img src="http://www2.clustrmaps.com/counter/index2.php?url=http://www-rcf.usc.edu/~asok/index.html" style="border:0px; margin:23px auto;margin:23px auto;" alt="Locations of visitors to this page" title="Locations of visitors to this page" id="clustrMapsImg" /><br>
</a></center></html>
<html>
<center>
<a href="http://www.digits.com" target="_blank">
    <img src="http://counter.digits.com/?counter={6b0d9c1b-c8f5-6544-89cc-07496efdfb0d}&template=simple"
     alt="Hit Counter by Digits" border="0"  />
  </a>
</center></html>
* co-author(s): Brent Doran
* Additional Information: //v. 15 Oct 2007 - Duke Mathematical Journal 2008, 143 (3), pp. 513-530 //
* Availability: [[ArXiv|http://arxiv.org/abs/0710.3607]],[[DVI|papers/exoticaffinesIIIfinal.dvi]],[[PDF|papers/exoticaffinesIIIfinal.pdf]] [[Journal|http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.dmj/1212500465]]
* ''Abstract'':  We discuss algebraic vector bundles on smooth $k$-schemes $X$ [[contractible from the standpoint of A¹-homotopy theory|On unipotent quotients and some A¹- contractible smooth schemes]]; when $k = {\mathbb C}$, the smooth manifolds $X({\mathbb C})$ are contractible as topological spaces. The integral algebraic K-theory and integral motivic cohomology of such schemes are that of ${\mathrm{Spec}} k$. One might hope that furthermore, and in analogy with the classification of topological vector bundles on manifolds, algebraic vector bundles on such schemes are all isomorphic to trivial bundles; [[this is almost certainly true when the scheme is affine|motivichomotopy.html#%5B%5BUnstable%20A%C2%B9-homotopy%20theory%5D%5D]]. However, in the non-affine case this is false: we show that (essentially) every smooth ${\mathbb A}^1$-contractible strictly quasi-affine scheme that admits a $U$-torsor whose total space is affine, for $U$ a unipotent group, possesses a non-trivial vector bundle. Indeed we produce explicit arbitrary dimensional families of non-isomorphic such schemes, with each scheme in the family equipped with ``as many" (i.e., arbitrary dimensional moduli of) non-isomorphic vector bundles, of every suffciently large rank $n$, as one desires; neither the schemes nor the vector bundles on them are distinguishable by algebraic K-theory. We also discuss the triviality of vector bundles for certain smooth complex affine varieties whose underlying complex manifolds are contractible, but that are not necessarily ${\mathbb A}^1$-contractible.
* co-author(s): Brent Doran and Frances Kirwan
* Additional Information: //Bull. London Math. Soc. 2008 40: 533-567; doi:10.1112/blms/bdn036//
* Availability: [[ArXiv|http://arxiv.org/abs/0801.4733]],[[DVI|papers/TamagawaFinal2.dvi]],[[PDF|papers/TamagawaFinal2.pdf]], [[Journal|http://blms.oxfordjournals.org/cgi/content/abstract/bdn036]]
* ''Abstract'':  Atiyah and Bott used [[equivariant Morse theory applied to the Yang–Mills functional|http://www.math.harvard.edu/history/bott/bottbio/node22.html]] to calculate the Betti numbers of moduli spaces of vector bundles over a [[Riemann surface|http://en.wikipedia.org/wiki/Riemann_surface]], rederiving inductive formulae obtained from an arithmetic approach which involved the [[Tamagawa number|http://en.wikipedia.org/wiki/Tamagawa_number]] of $SL_n$. This article attempts to survey and extend our understanding of this link between Yang–Mills theory and Tamagawa numbers, and to explain how methods used over the last three decades to study the singular cohomology of moduli spaces of bundles on a smooth projective curve over C can be adapted to the setting of ${\mathbb A}^1$[[-homotopy theory|motivichomotopy.html]] to study the [[motivic cohomology|http://en.wikipedia.org/wiki/Motivic_cohomology]] of these moduli spaces over an algebraically closed field.
/***
|''Name:''|YourSearchPlugin|
|''Version:''|2.1.3 (2008-04-16)|
|''Source:''|http://tiddlywiki.abego-software.de/#YourSearchPlugin|
|''Author:''|UdoBorkowski (ub [at] abego-software [dot] de)|
|''Licence:''|[[BSD open source license (abego Software)|http://www.abego-software.de/legal/apl-v10.html]]|
|''Copyright:''|&copy; 2005-2008 [[abego Software|http://www.abego-software.de]]|
|''~CoreVersion:''|2.1.0|
|''Community:''|[[del.icio.us|http://del.icio.us/post?url=http://tiddlywiki.abego-software.de/index.html%23YourSearchPlugin]]|
|''Browser:''|Firefox 1.0.4+; Firefox 1.5; ~InternetExplorer 6.0|
!About YourSearch
YourSearch gives you a bunch of new features to simplify and speed up your daily searches in TiddlyWiki. It seamlessly integrates into the standard TiddlyWiki search: just start typing into the 'search' field and explore!

For more information see [[Help|YourSearch Help]].
!Compatibility
This plugin requires TiddlyWiki 2.1.
Check the [[archive|http://tiddlywiki.abego-software.de/archive]] for ~YourSearchPlugins supporting older versions of TiddlyWiki.
!Source Code
***/
/***
This plugin's source code is compressed (and hidden). Use this [[link|http://tiddlywiki.abego-software.de/archive/YourSearchPlugin/Plugin-YourSearch-src.2.1.3.js]] to get the readable source code.
***/
///%
if(!version.extensions.YourSearchPlugin){version.extensions.YourSearchPlugin={major:2,minor:1,revision:3,source:"http://tiddlywiki.abego-software.de/#YourSearchPlugin",licence:"[[BSD open source license (abego Software)|http://www.abego-software.de/legal/apl-v10.html]]",copyright:"Copyright (c) abego Software GmbH, 2005-2008 (www.abego-software.de)"};if(!window.abego){window.abego={};}
if(!Array.forEach){Array.forEach=function(_1,_2,_3){for(var i=0,len=_1.length;i<len;i++){_2.call(_3,_1[i],i,_1);}};Array.prototype.forEach=function(_5,_6){for(var i=0,len=this.length;i<len;i++){_5.call(_6,this[i],i,this);}};}
abego.toInt=function(s,_9){if(!s){return _9;}
var n=parseInt(s);return(n==NaN)?_9:n;};abego.createEllipsis=function(_b){var e=createTiddlyElement(_b,"span");e.innerHTML="&hellip;";};abego.shallowCopy=function(_d){if(!_d){return _d;}
var _e={};for(var n in _d){_e[n]=_d[n];}
return _e;};abego.copyOptions=function(_10){return!_10?{}:abego.shallowCopy(_10);};abego.countStrings=function(_11,s){if(!s){return 0;}
var len=s.length;var n=0;var _15=0;while(1){var i=_11.indexOf(s,_15);if(i<0){return n;}
n++;_15=i+len;}
return n;};abego.getBracedText=function(_17,_18,_19){if(!_18){_18=0;}
var re=/\{([^\}]*)\}/gm;re.lastIndex=_18;var m=re.exec(_17);if(m){var s=m[1];var _1d=abego.countStrings(s,"{");if(!_1d){if(_19){_19.lastIndex=re.lastIndex;}
return s;}
var len=_17.length;for(var i=re.lastIndex;i<len&&_1d;i++){var c=_17.charAt(i);if(c=="{"){_1d++;}else{if(c=="}"){_1d--;}}}
if(!_1d){if(_19){_19.lastIndex=i-1;}
return _17.substring(m.index+1,i-1);}}};abego.select=function(_21,_22,_23,_24){if(!_24){_24=[];}
_21.forEach(function(t){if(_22.call(_23,t)){_24.push(t);}});return _24;};abego.consumeEvent=function(e){if(e.stopPropagation){e.stopPropagation();}
if(e.preventDefault){e.preventDefault();}
e.cancelBubble=true;e.returnValue=true;};abego.TiddlerFilterTerm=function(_27,_28){if(!_28){_28={};}
var _29=_27;if(!_28.textIsRegExp){_29=_27.escapeRegExp();if(_28.fullWordMatch){_29="\\b"+_29+"\\b";}}
var _2a=new RegExp(_29,"m"+(_28.caseSensitive?"":"i"));this.tester=new abego.MultiFieldRegExpTester(_2a,_28.fields,_28.withExtendedFields);};abego.TiddlerFilterTerm.prototype.test=function(_2b){return this.tester.test(_2b);};abego.parseNewTiddlerCommandLine=function(s){var m=/(.*?)\.(?:\s+|$)([^#]*)(#.*)?/.exec(s);if(!m){m=/([^#]*)()(#.*)?/.exec(s);}
if(m){var r;if(m[3]){var s2=m[3].replace(/#/g,"");r=s2.parseParams("tag");}else{r=[[]];}
var _30=m[2]?m[2].trim():"";r.push({name:"text",value:_30});r[0].text=[_30];return{title:m[1].trim(),params:r};}else{return{title:s.trim(),params:[[]]};}};abego.parseTiddlerFilterTerm=function(_31,_32,_33){var re=/\s*(?:(?:\{([^\}]*)\})|(?:(=)|([#%!])|(?:(\w+)\s*\:(?!\/\/))|(?:(?:("(?:(?:\\")|[^"])+")|(?:\/((?:(?:\\\/)|[^\/])+)\/)|(\w+\:\/\/[^\s]+)|([^\s\)\-\"]+)))))/mg;var _35={"!":"title","%":"text","#":"tags"};var _36={};var _37;re.lastIndex=_32;while(1){var i=re.lastIndex;var m=re.exec(_31);if(!m||m.index!=i){throw"Word or String literal expected";}
if(m[1]){var _3a={};var _3b=abego.getBracedText(_31,0,_3a);if(!_3b){throw"Invalid {...} syntax";}
var f=Function("tiddler","return ("+_3b+");");return{func:f,lastIndex:_3a.lastIndex,markRE:null};}
if(m[2]){_37=true;}else{if(m[3]){_36[_35[m[3]]]=1;}else{if(m[4]){_36[m[4]]=1;}else{var _3d=m[6];var _3e=m[5]?window.eval(m[5]):m[6]?m[6]:m[7]?m[7]:m[8];var _33=abego.copyOptions(_33);_33.fullWordMatch=_37;_33.textIsRegExp=_3d;var _3f=[];for(var n in _36){_3f.push(n);}
if(_3f.length==0){_33.fields=_33.defaultFields;}else{_33.fields=_3f;_33.withExtendedFields=false;}
var _41=new abego.TiddlerFilterTerm(_3e,_33);var _42=_3d?_3e:_3e.escapeRegExp();if(_42&&_37){_42="\\b"+_42+"\\b";}
return{func:function(_43){return _41.test(_43);},lastIndex:re.lastIndex,markRE:_42?"(?:"+_42+")":null};}}}}};abego.BoolExp=function(s,_45,_46){this.s=s;var _47=_46&&_46.defaultOperationIs_OR;var _48=/\s*(?:(\-|not)|(\())/gi;var _49=/\s*\)/g;var _4a=/\s*(?:(and|\&\&)|(or|\|\|))/gi;var _4b=/\s*[^\)\s]/g;var _4c=/\s*(\-|not)?(\s*\()?/gi;var _4d;var _4e=function(_4f){_4c.lastIndex=_4f;var m=_4c.exec(s);var _51;var _52;if(m&&m.index==_4f){_4f+=m[0].length;_51=m[1];if(m[2]){var e=_4d(_4f);_49.lastIndex=e.lastIndex;if(!_49.exec(s)){throw"Missing ')'";}
_52={func:e.func,lastIndex:_49.lastIndex,markRE:e.markRE};}}
if(!_52){_52=_45(s,_4f,_46);}
if(_51){_52.func=(function(f){return function(_55){return!f(_55);};})(_52.func);_52.markRE=null;}
return _52;};_4d=function(_56){var _57=_4e(_56);while(1){var l=_57.lastIndex;_4a.lastIndex=l;var m=_4a.exec(s);var _5a;var _5b;if(m&&m.index==l){_5a=!m[1];_5b=_4e(_4a.lastIndex);}else{try{_5b=_4e(l);}
catch(e){return _57;}
_5a=_47;}
_57.func=(function(_5c,_5d,_5e){return _5e?function(_5f){return _5c(_5f)||_5d(_5f);}:function(_60){return _5c(_60)&&_5d(_60);};})(_57.func,_5b.func,_5a);_57.lastIndex=_5b.lastIndex;if(!_57.markRE){_57.markRE=_5b.markRE;}else{if(_5b.markRE){_57.markRE=_57.markRE+"|"+_5b.markRE;}}}};var _61=_4d(0);this.evalFunc=_61.func;if(_61.markRE){this.markRegExp=new RegExp(_61.markRE,_46.caseSensitive?"mg":"img");}};abego.BoolExp.prototype.exec=function(){return this.evalFunc.apply(this,arguments);};abego.BoolExp.prototype.getMarkRegExp=function(){return this.markRegExp;};abego.BoolExp.prototype.toString=function(){return this.s;};abego.MultiFieldRegExpTester=function(re,_63,_64){this.re=re;this.fields=_63?_63:["title","text","tags"];this.withExtendedFields=_64;};abego.MultiFieldRegExpTester.prototype.test=function(_65){var re=this.re;for(var i=0;i<this.fields.length;i++){var s=store.getValue(_65,this.fields[i]);if(typeof s=="string"&&re.test(s)){return this.fields[i];}}
if(this.withExtendedFields){return store.forEachField(_65,function(_69,_6a,_6b){return typeof _6b=="string"&&re.test(_6b)?_6a:null;},true);}
return null;};abego.TiddlerQuery=function(_6c,_6d,_6e,_6f,_70){if(_6e){this.regExp=new RegExp(_6c,_6d?"mg":"img");this.tester=new abego.MultiFieldRegExpTester(this.regExp,_6f,_70);}else{this.expr=new abego.BoolExp(_6c,abego.parseTiddlerFilterTerm,{defaultFields:_6f,caseSensitive:_6d,withExtendedFields:_70});}
this.getQueryText=function(){return _6c;};this.getUseRegExp=function(){return _6e;};this.getCaseSensitive=function(){return _6d;};this.getDefaultFields=function(){return _6f;};this.getWithExtendedFields=function(){return _70;};};abego.TiddlerQuery.prototype.test=function(_71){if(!_71){return false;}
if(this.regExp){return this.tester.test(_71);}
return this.expr.exec(_71);};abego.TiddlerQuery.prototype.filter=function(_72){return abego.select(_72,this.test,this);};abego.TiddlerQuery.prototype.getMarkRegExp=function(){if(this.regExp){return"".search(this.regExp)>=0?null:this.regExp;}
return this.expr.getMarkRegExp();};abego.TiddlerQuery.prototype.toString=function(){return(this.regExp?this.regExp:this.expr).toString();};abego.PageWiseRenderer=function(){this.firstIndexOnPage=0;};merge(abego.PageWiseRenderer.prototype,{setItems:function(_73){this.items=_73;this.setFirstIndexOnPage(0);},getMaxPagesInNavigation:function(){return 10;},getItemsCount:function(_74){return this.items?this.items.length:0;},getCurrentPageIndex:function(){return Math.floor(this.firstIndexOnPage/this.getItemsPerPage());},getLastPageIndex:function(){return Math.floor((this.getItemsCount()-1)/this.getItemsPerPage());},setFirstIndexOnPage:function(_75){this.firstIndexOnPage=Math.min(Math.max(0,_75),this.getItemsCount()-1);},getFirstIndexOnPage:function(){this.firstIndexOnPage=Math.floor(this.firstIndexOnPage/this.getItemsPerPage())*this.getItemsPerPage();return this.firstIndexOnPage;},getLastIndexOnPage:function(){return Math.min(this.getFirstIndexOnPage()+this.getItemsPerPage()-1,this.getItemsCount()-1);},onPageChanged:function(_76,_77){},renderPage:function(_78){if(_78.beginRendering){_78.beginRendering(this);}
try{if(this.getItemsCount()){var _79=this.getLastIndexOnPage();var _7a=-1;for(var i=this.getFirstIndexOnPage();i<=_79;i++){_7a++;_78.render(this,this.items[i],i,_7a);}}}
finally{if(_78.endRendering){_78.endRendering(this);}}},addPageNavigation:function(_7c){if(!this.getItemsCount()){return;}
var _7d=this;var _7e=function(e){if(!e){var e=window.event;}
abego.consumeEvent(e);var _80=abego.toInt(this.getAttribute("page"),0);var _81=_7d.getCurrentPageIndex();if(_80==_81){return;}
var _82=_80*_7d.getItemsPerPage();_7d.setFirstIndexOnPage(_82);_7d.onPageChanged(_80,_81);};var _83;var _84=this.getCurrentPageIndex();var _85=this.getLastPageIndex();if(_84>0){_83=createTiddlyButton(_7c,"Previous","Go to previous page (Shortcut: Alt-'<')",_7e,"prev");_83.setAttribute("page",(_84-1).toString());_83.setAttribute("accessKey","<");}
for(var i=-this.getMaxPagesInNavigation();i<this.getMaxPagesInNavigation();i++){var _87=_84+i;if(_87<0){continue;}
if(_87>_85){break;}
var _88=(i+_84+1).toString();var _89=_87==_84?"currentPage":"otherPage";_83=createTiddlyButton(_7c,_88,"Go to page %0".format([_88]),_7e,_89);_83.setAttribute("page",(_87).toString());}
if(_84<_85){_83=createTiddlyButton(_7c,"Next","Go to next page (Shortcut: Alt-'>')",_7e,"next");_83.setAttribute("page",(_84+1).toString());_83.setAttribute("accessKey",">");}}});abego.LimitedTextRenderer=function(){var _8a=40;var _8b=4;var _8c=function(_8d,_8e,_8f){var n=_8d.length;if(n==0){_8d.push({start:_8e,end:_8f});return;}
var i=0;for(;i<n;i++){var _92=_8d[i];if(_92.start<=_8f&&_8e<=_92.end){var r;var _94=i+1;for(;_94<n;_94++){r=_8d[_94];if(r.start>_8f||_8e>_92.end){break;}}
var _95=_8e;var _96=_8f;for(var j=i;j<_94;j++){r=_8d[j];_95=Math.min(_95,r.start);_96=Math.max(_96,r.end);}
_8d.splice(i,_94-i,{start:_95,end:_96});return;}
if(_92.start>_8f){break;}}
_8d.splice(i,0,{start:_8e,end:_8f});};var _98=function(_99){var _9a=0;for(var i=0;i<_99.length;i++){var _9c=_99[i];_9a+=_9c.end-_9c.start;}
return _9a;};var _9d=function(c){return(c>="a"&&c<="z")||(c>="A"&&c<="Z")||c=="_";};var _9f=function(s,_a1){if(!_9d(s[_a1])){return null;}
for(var i=_a1-1;i>=0&&_9d(s[i]);i--){}
var _a3=i+1;var n=s.length;for(i=_a1+1;i<n&&_9d(s[i]);i++){}
return{start:_a3,end:i};};var _a5=function(s,_a7,_a8){var _a9;if(_a8){_a9=_9f(s,_a7);}else{if(_a7<=0){return _a7;}
_a9=_9f(s,_a7-1);}
if(!_a9){return _a7;}
if(_a8){if(_a9.start>=_a7-_8b){return _a9.start;}
if(_a9.end<=_a7+_8b){return _a9.end;}}else{if(_a9.end<=_a7+_8b){return _a9.end;}
if(_a9.start>=_a7-_8b){return _a9.start;}}
return _a7;};var _aa=function(s,_ac){var _ad=[];if(_ac){var _ae=0;var n=s.length;var _b0=0;do{_ac.lastIndex=_ae;var _b1=_ac.exec(s);if(_b1){if(_ae<_b1.index){var t=s.substring(_ae,_b1.index);_ad.push({text:t});}
_ad.push({text:_b1[0],isMatch:true});_ae=_b1.index+_b1[0].length;}else{_ad.push({text:s.substr(_ae)});break;}}while(true);}else{_ad.push({text:s});}
return _ad;};var _b3=function(_b4){var _b5=0;for(var i=0;i<_b4.length;i++){if(_b4[i].isMatch){_b5++;}}
return _b5;};var _b7=function(s,_b9,_ba,_bb,_bc){var _bd=Math.max(Math.floor(_bc/(_bb+1)),_8a);var _be=Math.max(_bd-(_ba-_b9),0);var _bf=Math.min(Math.floor(_ba+_be/3),s.length);var _c0=Math.max(_bf-_bd,0);_c0=_a5(s,_c0,true);_bf=_a5(s,_bf,false);return{start:_c0,end:_bf};};var _c1=function(_c2,s,_c4){var _c5=[];var _c6=_b3(_c2);var pos=0;for(var i=0;i<_c2.length;i++){var t=_c2[i];var _ca=t.text;if(t.isMatch){var _cb=_b7(s,pos,pos+_ca.length,_c6,_c4);_8c(_c5,_cb.start,_cb.end);}
pos+=_ca.length;}
return _c5;};var _cc=function(s,_ce,_cf){var _d0=_cf-_98(_ce);while(_d0>0){if(_ce.length==0){_8c(_ce,0,_a5(s,_cf,false));return;}else{var _d1=_ce[0];var _d2;var _d3;if(_d1.start==0){_d2=_d1.end;if(_ce.length>1){_d3=_ce[1].start;}else{_8c(_ce,_d2,_a5(s,_d2+_d0,false));return;}}else{_d2=0;_d3=_d1.start;}
var _d4=Math.min(_d3,_d2+_d0);_8c(_ce,_d2,_d4);_d0-=(_d4-_d2);}}};var _d5=function(_d6,s,_d8,_d9,_da){if(_d9.length==0){return;}
var _db=function(_dc,s,_de,_df,_e0){var t;var _e2;var pos=0;var i=0;var _e5=0;for(;i<_de.length;i++){t=_de[i];_e2=t.text;if(_df<pos+_e2.length){_e5=_df-pos;break;}
pos+=_e2.length;}
var _e6=_e0-_df;for(;i<_de.length&&_e6>0;i++){t=_de[i];_e2=t.text.substr(_e5);_e5=0;if(_e2.length>_e6){_e2=_e2.substr(0,_e6);}
if(t.isMatch){createTiddlyElement(_dc,"span",null,"marked",_e2);}else{createTiddlyText(_dc,_e2);}
_e6-=_e2.length;}
if(_e0<s.length){abego.createEllipsis(_dc);}};if(_d9[0].start>0){abego.createEllipsis(_d6);}
var _e7=_da;for(var i=0;i<_d9.length&&_e7>0;i++){var _e9=_d9[i];var len=Math.min(_e9.end-_e9.start,_e7);_db(_d6,s,_d8,_e9.start,_e9.start+len);_e7-=len;}};this.render=function(_eb,s,_ed,_ee){if(s.length<_ed){_ed=s.length;}
var _ef=_aa(s,_ee);var _f0=_c1(_ef,s,_ed);_cc(s,_f0,_ed);_d5(_eb,s,_ef,_f0,_ed);};};(function(){function alertAndThrow(msg){alert(msg);throw msg;}
if(version.major<2||(version.major==2&&version.minor<1)){alertAndThrow("YourSearchPlugin requires TiddlyWiki 2.1 or newer.\n\nCheck the archive for YourSearch plugins\nsupporting older versions of TiddlyWiki.\n\nArchive: http://tiddlywiki.abego-software.de/archive");}
abego.YourSearch={};var _f2;var _f3;var _f4=function(_f5){_f2=_f5;};var _f6=function(){return _f2?_f2:[];};var _f7=function(){return _f2?_f2.length:0;};var _f8=4;var _f9=10;var _fa=2;var _fb=function(s,re){var m=s.match(re);return m?m.length:0;};var _ff=function(_100,_101){var _102=_101.getMarkRegExp();if(!_102){return 1;}
var _103=_100.title.match(_102);var _104=_103?_103.length:0;var _105=_fb(_100.getTags(),_102);var _106=_103?_103.join("").length:0;var _107=_100.title.length>0?_106/_100.title.length:0;var rank=_104*_f8+_105*_fa+_107*_f9+1;return rank;};var _109=function(_10a,_10b,_10c,_10d,_10e,_10f){_f3=null;var _110=_10a.reverseLookup("tags",_10f,false);try{var _111=[];if(config.options.chkSearchInTitle){_111.push("title");}
if(config.options.chkSearchInText){_111.push("text");}
if(config.options.chkSearchInTags){_111.push("tags");}
_f3=new abego.TiddlerQuery(_10b,_10c,_10d,_111,config.options.chkSearchExtendedFields);}
catch(e){return[];}
var _112=_f3.filter(_110);var _113=abego.YourSearch.getRankFunction();for(var i=0;i<_112.length;i++){var _115=_112[i];var rank=_113(_115,_f3);_115.searchRank=rank;}
if(!_10e){_10e="title";}
var _117=function(a,b){var _11a=a.searchRank-b.searchRank;if(_11a==0){if(a[_10e]==b[_10e]){return(0);}else{return(a[_10e]<b[_10e])?-1:+1;}}else{return(_11a>0)?-1:+1;}};_112.sort(_117);return _112;};var _11b=80;var _11c=50;var _11d=250;var _11e=50;var _11f=25;var _120=10;var _121="yourSearchResult";var _122="yourSearchResultItems";var _123;var _124;var _125;var _126;var _127;var _128=function(){if(version.extensions.YourSearchPlugin.styleSheetInited){return;}
version.extensions.YourSearchPlugin.styleSheetInited=true;setStylesheet(store.getTiddlerText("YourSearchStyleSheet"),"yourSearch");};var _129=function(){return _124!=null&&_124.parentNode==document.body;};var _12a=function(){if(_129()){document.body.removeChild(_124);}};var _12b=function(e){_12a();var _12d=this.getAttribute("tiddlyLink");if(_12d){var _12e=this.getAttribute("withHilite");var _12f=highlightHack;if(_12e&&_12e=="true"&&_f3){highlightHack=_f3.getMarkRegExp();}
story.displayTiddler(this,_12d);highlightHack=_12f;}
return(false);};var _130=function(){if(!_125){return;}
var root=_125;var _132=findPosX(root);var _133=findPosY(root);var _134=root.offsetHeight;var _135=_132;var _136=_133+_134;var _137=findWindowWidth();if(_137<_124.offsetWidth){_124.style.width=(_137-100)+"px";_137=findWindowWidth();}
var _138=_124.offsetWidth;if(_135+_138>_137){_135=_137-_138-30;}
if(_135<0){_135=0;}
_124.style.left=_135+"px";_124.style.top=_136+"px";_124.style.display="block";};var _139=function(){if(_124){window.scrollTo(0,ensureVisible(_124));}
if(_125){window.scrollTo(0,ensureVisible(_125));}};var _13a=function(){_130();_139();};var _13b;var _13c;var _13d=new abego.PageWiseRenderer();var _13e=function(_13f){this.itemHtml=store.getTiddlerText("YourSearchItemTemplate");if(!this.itemHtml){alertAndThrow("YourSearchItemTemplate not found");}
this.place=document.getElementById(_122);if(!this.place){this.place=createTiddlyElement(_13f,"div",_122);}};merge(_13e.prototype,{render:function(_140,_141,_142,_143){_13b=_143;_13c=_141;var item=createTiddlyElement(this.place,"div",null,"yourSearchItem");item.innerHTML=this.itemHtml;applyHtmlMacros(item,null);refreshElements(item,null);},endRendering:function(_145){_13c=null;}});var _146=function(){if(!_124||!_125){return;}
var html=store.getTiddlerText("YourSearchResultTemplate");if(!html){html="<b>Tiddler YourSearchResultTemplate not found</b>";}
_124.innerHTML=html;applyHtmlMacros(_124,null);refreshElements(_124,null);var _148=new _13e(_124);_13d.renderPage(_148);_13a();};_13d.getItemsPerPage=function(){var n=(config.options.chkPreviewText)?abego.toInt(config.options.txtItemsPerPageWithPreview,_120):abego.toInt(config.options.txtItemsPerPage,_11f);return(n>0)?n:1;};_13d.onPageChanged=function(){_146();};var _14a=function(){if(_125==null||!config.options.chkUseYourSearch){return;}
if((_125.value==_123)&&_123&&!_129()){if(_124&&(_124.parentNode!=document.body)){document.body.appendChild(_124);_13a();}else{abego.YourSearch.onShowResult(true);}}};var _14b=function(){_12a();_124=null;_123=null;};var _14c=function(self,e){while(e!=null){if(self==e){return true;}
e=e.parentNode;}
return false;};var _14f=function(e){if(e.target==_125){return;}
if(e.target==_126){return;}
if(_124&&_14c(_124,e.target)){return;}
_12a();};var _151=function(e){if(e.keyCode==27){_12a();}};addEvent(document,"click",_14f);addEvent(document,"keyup",_151);var _153=function(text,_155,_156){_123=text;_f4(_109(store,text,_155,_156,"title","excludeSearch"));abego.YourSearch.onShowResult();};var _157=function(_158,_159,_15a,_15b,_15c,_15d){_128();_123="";var _15e=null;var _15f=function(txt){if(config.options.chkUseYourSearch){_153(txt.value,config.options.chkCaseSensitiveSearch,config.options.chkRegExpSearch);}else{story.search(txt.value,config.options.chkCaseSensitiveSearch,config.options.chkRegExpSearch);}
_123=txt.value;};var _161=function(e){_15f(_125);return false;};var _163=function(e){if(!e){var e=window.event;}
_125=this;switch(e.keyCode){case 13:if(e.ctrlKey&&_127&&_129()){_127.onclick.apply(_127,[e]);}else{_15f(this);}
break;case 27:if(_129()){_12a();}else{this.value="";clearMessage();}
break;}
if(String.fromCharCode(e.keyCode)==this.accessKey||e.altKey){_14a();}
if(this.value.length<3&&_15e){clearTimeout(_15e);}
if(this.value.length>2){if(this.value!=_123){if(!config.options.chkUseYourSearch||config.options.chkSearchAsYouType){if(_15e){clearTimeout(_15e);}
var txt=this;_15e=setTimeout(function(){_15f(txt);},500);}}else{if(_15e){clearTimeout(_15e);}}}
if(this.value.length==0){_12a();}};var _166=function(e){this.select();clearMessage();_14a();};var args=_15c.parseParams("list",null,true);var _169=getFlag(args,"buttonAtRight");var _16a=getParam(args,"sizeTextbox",this.sizeTextbox);var btn;if(!_169){btn=createTiddlyButton(_158,this.label,this.prompt,_161);}
var txt=createTiddlyElement(_158,"input",null,null,null);if(_15a[0]){txt.value=_15a[0];}
txt.onkeyup=_163;txt.onfocus=_166;txt.setAttribute("size",_16a);txt.setAttribute("accessKey",this.accessKey);txt.setAttribute("autocomplete","off");if(config.browser.isSafari){txt.setAttribute("type","search");txt.setAttribute("results","5");}else{txt.setAttribute("type","text");}
if(_169){btn=createTiddlyButton(_158,this.label,this.prompt,_161);}
_125=txt;_126=btn;};var _16d=function(){_12a();var _16e=_f6();var n=_16e.length;if(n){var _170=[];for(var i=0;i<n;i++){_170.push(_16e[i].title);}
story.displayTiddlers(null,_170);}};var _172=function(_173,_174,_175,_176){invokeMacro(_173,"option",_174,_175,_176);var elem=_173.lastChild;var _178=elem.onclick;elem.onclick=function(e){var _17a=_178.apply(this,arguments);_146();return _17a;};return elem;};var _17b=function(s){var _17d=["''","{{{","}}}","//","<<<","/***","***/"];var _17e="";for(var i=0;i<_17d.length;i++){if(i!=0){_17e+="|";}
_17e+="("+_17d[i].escapeRegExp()+")";}
return s.replace(new RegExp(_17e,"mg"),"").trim();};var _180=function(){var i=_13b;return(i>=0&&i<=9)?(i<9?(i+1):0):-1;};var _182=new abego.LimitedTextRenderer();var _183=function(_184,s,_186){_182.render(_184,s,_186,_f3.getMarkRegExp());};var _187=TiddlyWiki.prototype.saveTiddler;TiddlyWiki.prototype.saveTiddler=function(_188,_189,_18a,_18b,_18c,tags,_18e){_187.apply(this,arguments);_14b();};var _18f=TiddlyWiki.prototype.removeTiddler;TiddlyWiki.prototype.removeTiddler=function(_190){_18f.apply(this,arguments);_14b();};config.macros.yourSearch={label:"yourSearch",prompt:"Gives access to the current/last YourSearch result",handler:function(_191,_192,_193,_194,_195,_196){if(_193.length==0){return;}
var name=_193[0];var func=config.macros.yourSearch.funcs[name];if(func){func(_191,_192,_193,_194,_195,_196);}},tests:{"true":function(){return true;},"false":function(){return false;},"found":function(){return _f7()>0;},"previewText":function(){return config.options.chkPreviewText;}},funcs:{itemRange:function(_199){if(_f7()){var _19a=_13d.getLastIndexOnPage();var s="%0 - %1".format([_13d.getFirstIndexOnPage()+1,_19a+1]);createTiddlyText(_199,s);}},count:function(_19c){createTiddlyText(_19c,_f7().toString());},query:function(_19d){if(_f3){createTiddlyText(_19d,_f3.toString());}},version:function(_19e){var t="YourSearch %0.%1.%2".format([version.extensions.YourSearchPlugin.major,version.extensions.YourSearchPlugin.minor,version.extensions.YourSearchPlugin.revision]);var e=createTiddlyElement(_19e,"a");e.setAttribute("href","http://tiddlywiki.abego-software.de/#YourSearchPlugin");e.innerHTML="<font color=\"black\" face=\"Arial, Helvetica, sans-serif\">"+t+"<font>";},copyright:function(_1a1){var e=createTiddlyElement(_1a1,"a");e.setAttribute("href","http://www.abego-software.de");e.innerHTML="<font color=\"black\" face=\"Arial, Helvetica, sans-serif\">&copy; 2005-2008 <b><font color=\"red\">abego</font></b> Software<font>";},newTiddlerButton:function(_1a3){if(_f3){var r=abego.parseNewTiddlerCommandLine(_f3.getQueryText());var btn=config.macros.newTiddler.createNewTiddlerButton(_1a3,r.title,r.params,"new tiddler","Create a new tiddler based on search text. (Shortcut: Ctrl-Enter; Separators: '.', '#')",null,"text");var _1a6=btn.onclick;btn.onclick=function(){_12a();_1a6.apply(this,arguments);};_127=btn;}},linkButton:function(_1a7,_1a8,_1a9,_1aa,_1ab,_1ac){if(_1a9<2){return;}
var _1ad=_1a9[1];var text=_1a9<3?_1ad:_1a9[2];var _1af=_1a9<4?text:_1a9[3];var _1b0=_1a9<5?null:_1a9[4];var btn=createTiddlyButton(_1a7,text,_1af,_12b,null,null,_1b0);btn.setAttribute("tiddlyLink",_1ad);},closeButton:function(_1b2,_1b3,_1b4,_1b5,_1b6,_1b7){var _1b8=createTiddlyButton(_1b2,"close","Close the Search Results (Shortcut: ESC)",_12a);},openAllButton:function(_1b9,_1ba,_1bb,_1bc,_1bd,_1be){var n=_f7();if(n==0){return;}
var _1c0=n==1?"open tiddler":"open all %0 tiddlers".format([n]);var _1c1=createTiddlyButton(_1b9,_1c0,"Open all found tiddlers (Shortcut: Alt-O)",_16d);_1c1.setAttribute("accessKey","O");},naviBar:function(_1c2,_1c3,_1c4,_1c5,_1c6,_1c7){_13d.addPageNavigation(_1c2);},"if":function(_1c8,_1c9,_1ca,_1cb,_1cc,_1cd){if(_1ca.length<2){return;}
var _1ce=_1ca[1];var _1cf=(_1ce=="not");if(_1cf){if(_1ca.length<3){return;}
_1ce=_1ca[2];}
var test=config.macros.yourSearch.tests[_1ce];var _1d1=false;try{if(test){_1d1=test(_1c8,_1c9,_1ca,_1cb,_1cc,_1cd)!=_1cf;}else{_1d1=(!eval(_1ce))==_1cf;}}
catch(ex){}
if(!_1d1){_1c8.style.display="none";}},chkPreviewText:function(_1d2,_1d3,_1d4,_1d5,_1d6,_1d7){var _1d8=_1d4.slice(1).join(" ");var elem=_172(_1d2,"chkPreviewText",_1d5,_1d7);elem.setAttribute("accessKey","P");elem.title="Show text preview of found tiddlers (Shortcut: Alt-P)";return elem;}}};config.macros.foundTiddler={label:"foundTiddler",prompt:"Provides information on the tiddler currently processed on the YourSearch result page",handler:function(_1da,_1db,_1dc,_1dd,_1de,_1df){var name=_1dc[0];var func=config.macros.foundTiddler.funcs[name];if(func){func(_1da,_1db,_1dc,_1dd,_1de,_1df);}},funcs:{title:function(_1e2,_1e3,_1e4,_1e5,_1e6,_1e7){if(!_13c){return;}
var _1e8=_180();var _1e9=_1e8>=0?"Open tiddler (Shortcut: Alt-%0)".format([_1e8.toString()]):"Open tiddler";var btn=createTiddlyButton(_1e2,null,_1e9,_12b,null);btn.setAttribute("tiddlyLink",_13c.title);btn.setAttribute("withHilite","true");_183(btn,_13c.title,_11b);if(_1e8>=0){btn.setAttribute("accessKey",_1e8.toString());}},tags:function(_1eb,_1ec,_1ed,_1ee,_1ef,_1f0){if(!_13c){return;}
_183(_1eb,_13c.getTags(),_11c);},text:function(_1f1,_1f2,_1f3,_1f4,_1f5,_1f6){if(!_13c){return;}
_183(_1f1,_17b(_13c.text),_11d);},field:function(_1f7,_1f8,_1f9,_1fa,_1fb,_1fc){if(!_13c){return;}
var name=_1f9[1];var len=_1f9.length>2?abego.toInt(_1f9[2],_11e):_11e;var v=store.getValue(_13c,name);if(v){_183(_1f7,_17b(v),len);}},number:function(_200,_201,_202,_203,_204,_205){var _206=_180();if(_206>=0){var text="%0)".format([_206.toString()]);createTiddlyElement(_200,"span",null,"shortcutNumber",text);}}}};var opts={chkUseYourSearch:true,chkPreviewText:true,chkSearchAsYouType:true,chkSearchInTitle:true,chkSearchInText:true,chkSearchInTags:true,chkSearchExtendedFields:true,txtItemsPerPage:_11f,txtItemsPerPageWithPreview:_120};for(var n in opts){if(config.options[n]==undefined){config.options[n]=opts[n];}}
config.shadowTiddlers.AdvancedOptions+="\n<<option chkUseYourSearch>> Use 'Your Search' //([[more options|YourSearch Options]]) ([[help|YourSearch Help]])// ";config.shadowTiddlers["YourSearch Help"]="!Field Search\nWith the Field Search you can restrict your search to certain fields of a tiddler, e.g"+" only search the tags or only the titles. The general form is //fieldname//'':''//textToSearch// (e."+"g. {{{title:intro}}}). In addition one-character shortcuts are also supported for the standard field"+"s {{{title}}}, {{{text}}} and {{{tags}}}:\n|!What you want|!What you type|!Example|\n|Search ''titles "+"only''|start word with ''!''|{{{!jonny}}} (shortcut for {{{title:jonny}}})|\n|Search ''contents/text "+"only''|start word with ''%''|{{{%football}}} (shortcut for {{{text:football}}})|\n|Search ''tags only"+"''|start word with ''#''|{{{#Plugin}}} (shortcut for {{{tags:Plugin}}})|\n\nUsing this feature you may"+" also search the extended fields (\"Metadata\") introduced with TiddlyWiki 2.1, e.g. use {{{priority:1"+"}}} to find all tiddlers with the priority field set to \"1\".\n\nYou may search a word in more than one"+" field. E.g. {{{!#Plugin}}} (or {{{title:tags:Plugin}}} in the \"long form\") finds tiddlers containin"+"g \"Plugin\" either in the title or in the tags (but does not look for \"Plugin\" in the text). \n\n!Boole"+"an Search\nThe Boolean Search is useful when searching for multiple words.\n|!What you want|!What you "+"type|!Example|\n|''All words'' must exist|List of words|{{{jonny jeremy}}} (or {{{jonny and jeremy}}}"+")|\n|''At least one word'' must exist|Separate words by ''or''|{{{jonny or jeremy}}}|\n|A word ''must "+"not exist''|Start word with ''-''|{{{-jonny}}} (or {{{not jonny}}})|\n\n''Note:'' When you specify two"+" words, separated with a space, YourSearch finds all tiddlers that contain both words, but not neces"+"sarily next to each other. If you want to find a sequence of word, e.g. '{{{John Brown}}}', you need"+" to put the words into quotes. I.e. you type: {{{\"john brown\"}}}.\n\nUsing parenthesis you may change "+"the default \"left to right\" evaluation of the boolean search. E.g. {{{not (jonny or jeremy)}}} finds"+" all tiddlers that contain neither \"jonny\" nor \"jeremy. In contrast to this {{{not jonny or jeremy}}"+"} (i.e. without parenthesis) finds all tiddlers that either don't contain \"jonny\" or that contain \"j"+"eremy\".\n\n!'Exact Word' Search\nBy default a search result all matches that 'contain' the searched tex"+"t. E.g. if you search for {{{Task}}} you will get all tiddlers containing 'Task', but also '~Complet"+"edTask', '~TaskForce' etc.\n\nIf you only want to get the tiddlers that contain 'exactly the word' you"+" need to prefix it with a '='. E.g. typing '=Task' will find the tiddlers that contain the word 'Tas"+"k', ignoring words that just contain 'Task' as a substring.\n\n!~CaseSensitiveSearch and ~RegExpSearch"+"\nThe standard search options ~CaseSensitiveSearch and ~RegExpSearch are fully supported by YourSearc"+"h. However when ''~RegExpSearch'' is on Filtered and Boolean Search are disabled.\n\nIn addition you m"+"ay do a \"regular expression\" search even with the ''~RegExpSearch'' set to false by directly enterin"+"g the regular expression into the search field, framed with {{{/.../}}}. \n\nExample: {{{/m[ae][iy]er/"+"}}} will find all tiddlers that contain either \"maier\", \"mayer\", \"meier\" or \"meyer\".\n\n!~JavaScript E"+"xpression Filtering\nIf you are familiar with JavaScript programming and know some TiddlyWiki interna"+"ls you may also use JavaScript expression for the search. Just enter a JavaScript boolean expression"+" into the search field, framed with {{{ { ... } }}}. In the code refer to the variable tiddler and e"+"valuate to {{{true}}} when the given tiddler should be included in the result. \n\nExample: {{{ { tidd"+"ler.modified > new Date(\"Jul 4, 2005\")} }}} returns all tiddler modified after July 4th, 2005.\n\n!Com"+"bined Search\nYou are free to combine the various search options. \n\n''Examples''\n|!What you type|!Res"+"ult|\n|{{{!jonny !jeremy -%football}}}|all tiddlers with both {{{jonny}}} and {{{jeremy}}} in its tit"+"les, but no {{{football}}} in content.|\n|{{{#=Task}}}|All tiddlers tagged with 'Task' (the exact wor"+"d). Tags named '~CompletedTask', '~TaskForce' etc. are not considered.|\n\n!Access Keys\nYou are encour"+"aged to use the access keys (also called \"shortcut\" keys) for the most frequently used operations. F"+"or quick reference these shortcuts are also mentioned in the tooltip for the various buttons etc.\n\n|"+"!Key|!Operation|\n|{{{Alt-F}}}|''The most important keystroke'': It moves the cursor to the search in"+"put field so you can directly start typing your query. Pressing {{{Alt-F}}} will also display the pr"+"evious search result. This way you can quickly display multiple tiddlers using \"Press {{{Alt-F}}}. S"+"elect tiddler.\" sequences.|\n|{{{ESC}}}|Closes the [[YourSearch Result]]. When the [[YourSearch Resul"+"t]] is already closed and the cursor is in the search input field the field's content is cleared so "+"you start a new query.|\n|{{{Alt-1}}}, {{{Alt-2}}},... |Pressing these keys opens the first, second e"+"tc. tiddler from the result list.|\n|{{{Alt-O}}}|Opens all found tiddlers.|\n|{{{Alt-P}}}|Toggles the "+"'Preview Text' mode.|\n|{{{Alt-'<'}}}, {{{Alt-'>'}}}|Displays the previous or next page in the [[Your"+"Search Result]].|\n|{{{Return}}}|When you have turned off the 'as you type' search mode pressing the "+"{{{Return}}} key actually starts the search (as does pressing the 'search' button).|\n\n//If some of t"+"hese shortcuts don't work for you check your browser if you have other extensions installed that alr"+"eady \"use\" these shortcuts.//";config.shadowTiddlers["YourSearch Options"]="|>|!YourSearch Options|\n|>|<<option chkUseYourSearch>> Use 'Your Search'|\n|!|<<option chkPreviewText"+">> Show Text Preview|\n|!|<<option chkSearchAsYouType>> 'Search As You Type' Mode (No RETURN required"+" to start search)|\n|!|Default Search Filter:<<option chkSearchInTitle>>Title ('!')     <<option chk"+"SearchInText>>Text ('%')     <<option chkSearchInTags>>Tags ('#')    <<option chkSearchExtendedFiel"+"ds>>Extended Fields<html><br><font size=\"-2\">The fields of a tiddlers that are searched when you don"+"'t explicitly specify a filter in the search text <br>(Explictly specify fields using one or more '!"+"', '%', '#' or 'fieldname:' prefix before the word/text to find).</font></html>|\n|!|Number of items "+"on search result page: <<option txtItemsPerPage>>|\n|!|Number of items on search result page with pre"+"view text: <<option txtItemsPerPageWithPreview>>|\n";config.shadowTiddlers["YourSearchStyleSheet"]="/***\n!~YourSearchResult Stylesheet\n***/\n/*{{{*/\n.yourSearchResult {\n\tposition: absolute;\n\twidth: 800"+"px;\n\n\tpadding: 0.2em;\n\tlist-style: none;\n\tmargin: 0;\n\n\tbackground: #ffd;\n\tborder: 1px solid DarkGra"+"y;\n}\n\n/*}}}*/\n/***\n!!Summary Section\n***/\n/*{{{*/\n.yourSearchResult .summary {\n\tborder-bottom-width:"+" thin;\n\tborder-bottom-style: solid;\n\tborder-bottom-color: #999999;\n\tpadding-bottom: 4px;\n}\n\n.yourSea"+"rchRange, .yourSearchCount, .yourSearchQuery   {\n\tfont-weight: bold;\n}\n\n.yourSearchResult .summary ."+"button {\n\tfont-size: 10px;\n\n\tpadding-left: 0.3em;\n\tpadding-right: 0.3em;\n}\n\n.yourSearchResult .summa"+"ry .chkBoxLabel {\n\tfont-size: 10px;\n\n\tpadding-right: 0.3em;\n}\n\n/*}}}*/\n/***\n!!Items Area\n***/\n/*{{{*"+"/\n.yourSearchResult .marked {\n\tbackground: none;\n\tfont-weight: bold;\n}\n\n.yourSearchItem {\n\tmargin-to"+"p: 2px;\n}\n\n.yourSearchNumber {\n\tcolor: #808080;\n}\n\n\n.yourSearchTags {\n\tcolor: #008000;\n}\n\n.yourSearc"+"hText {\n\tcolor: #808080;\n\tmargin-bottom: 6px;\n}\n\n/*}}}*/\n/***\n!!Footer\n***/\n/*{{{*/\n.yourSearchFoote"+"r {\n\tmargin-top: 8px;\n\tborder-top-width: thin;\n\tborder-top-style: solid;\n\tborder-top-color: #999999;"+"\n}\n\n.yourSearchFooter a:hover{\n\tbackground: none;\n\tcolor: none;\n}\n/*}}}*/\n/***\n!!Navigation Bar\n***/"+"\n/*{{{*/\n.yourSearchNaviBar a {\n\tfont-size: 16px;\n\tmargin-left: 4px;\n\tmargin-right: 4px;\n\tcolor: bla"+"ck;\n\ttext-decoration: underline;\n}\n\n.yourSearchNaviBar a:hover {\n\tbackground-color: none;\n}\n\n.yourSe"+"archNaviBar .prev {\n\tfont-weight: bold;\n\tcolor: blue;\n}\n\n.yourSearchNaviBar .currentPage {\n\tcolor: #"+"FF0000;\n\tfont-weight: bold;\n\ttext-decoration: none;\n}\n\n.yourSearchNaviBar .next {\n\tfont-weight: bold"+";\n\tcolor: blue;\n}\n/*}}}*/\n";config.shadowTiddlers["YourSearchResultTemplate"]="<!--\n{{{\n-->\n<span macro=\"yourSearch if found\">\n<!-- The Summary Header ============================"+"================ -->\n<table class=\"summary\" border=\"0\" width=\"100%\" cellspacing=\"0\" cellpadding=\"0\">"+"<tbody>\n  <tr>\n\t<td align=\"left\">\n\t\tYourSearch Result <span class=\"yourSearchRange\" macro=\"yourSearc"+"h itemRange\"></span>\n\t\t&nbsp;of&nbsp;<span class=\"yourSearchCount\" macro=\"yourSearch count\"></span>\n"+"\t\tfor&nbsp;<span class=\"yourSearchQuery\" macro=\"yourSearch query\"></span>\n\t</td>\n\t<td class=\"yourSea"+"rchButtons\" align=\"right\">\n\t\t<span macro=\"yourSearch chkPreviewText\"></span><span class=\"chkBoxLabel"+"\">preview text</span>\n\t\t<span macro=\"yourSearch newTiddlerButton\"></span>\n\t\t<span macro=\"yourSearch openAllButton\"></span>\n\t\t<span macro=\"yourSearch lin"+"kButton 'YourSearch Options' options 'Configure YourSearch'\"></span>\n\t\t<span macro=\"yourSearch linkB"+"utton 'YourSearch Help' help 'Get help how to use YourSearch'\"></span>\n\t\t<span macro=\"yourSearch clo"+"seButton\"></span>\n\t</td>\n  </tr>\n</tbody></table>\n\n<!-- The List of Found Tiddlers ================="+"=========================== -->\n<div id=\"yourSearchResultItems\" itemsPerPage=\"25\" itemsPerPageWithPr"+"eview=\"10\"></div>\n\n<!-- The Footer (with the Navigation) ==========================================="+"= -->\n<table class=\"yourSearchFooter\" border=\"0\" width=\"100%\" cellspacing=\"0\" cellpadding=\"0\"><tbody"+">\n  <tr>\n\t<td align=\"left\">\n\t\tResult page: <span class=\"yourSearchNaviBar\" macro=\"yourSearch naviBar"+"\"></span>\n\t</td>\n\t<td align=\"right\"><span macro=\"yourSearch version\"></span>, <span macro=\"yourSearc"+"h copyright\"></span>\n\t</td>\n  </tr>\n</tbody></table>\n<!-- end of the 'tiddlers found' case ========="+"================================== -->\n</span>\n\n\n<!-- The \"No tiddlers found\" case ================="+"========================== -->\n<span macro=\"yourSearch if not found\">\n<table class=\"summary\" border="+"\"0\" width=\"100%\" cellspacing=\"0\" cellpadding=\"0\"><tbody>\n  <tr>\n\t<td align=\"left\">\n\t\tYourSearch Resu"+"lt: No tiddlers found for <span class=\"yourSearchQuery\" macro=\"yourSearch query\"></span>.\n\t</td>\n\t<t"+"d class=\"yourSearchButtons\" align=\"right\">\n\t\t<span macro=\"yourSearch newTiddlerButton\"></span>\n\t\t<span macro=\"yourSearch linkButton 'YourSearch Options'"+" options 'Configure YourSearch'\"></span>\n\t\t<span macro=\"yourSearch linkButton 'YourSearch Help' help"+" 'Get help how to use YourSearch'\"></span>\n\t\t<span macro=\"yourSearch closeButton\"></span>\n\t</td>\n  <"+"/tr>\n</tbody></table>\n</span>\n\n\n<!--\n}}}\n-->\n";config.shadowTiddlers["YourSearchItemTemplate"]="<!--\n{{{\n-->\n<span class='yourSearchNumber' macro='foundTiddler number'></span>\n<span class='yourSea"+"rchTitle' macro='foundTiddler title'/></span>&nbsp;-&nbsp;\n<span class='yourSearchTags' macro='found"+"Tiddler field tags 50'/></span>\n<span macro=\"yourSearch if previewText\"><div class='yourSearchText' macro='fo"+"undTiddler field text 250'/></div></span>\n<!--\n}}}\n-->";config.shadowTiddlers["YourSearch"]="<<tiddler [[YourSearch Help]]>>";config.shadowTiddlers["YourSearch Result"]="The popup-like window displaying the result of a YourSearch query.";config.macros.search.handler=_157;var _20a=function(){if(config.macros.search.handler!=_157){alert("Message from YourSearchPlugin:\n\n\nAnother plugin has disabled the 'Your Search' features.\n\n\nYou may "+"disable the other plugin or change the load order of \nthe plugins (by changing the names of the tidd"+"lers)\nto enable the 'Your Search' features.");}};setTimeout(_20a,5000);abego.YourSearch.getStandardRankFunction=function(){return _ff;};abego.YourSearch.getRankFunction=function(){return abego.YourSearch.getStandardRankFunction();};abego.YourSearch.getCurrentTiddler=function(){return _13c;};abego.YourSearch.closeResult=function(){_12a();};abego.YourSearch.getFoundTiddlers=function(){return _f2;};abego.YourSearch.getQuery=function(){return _f3;};abego.YourSearch.onShowResult=function(_20b){highlightHack=_f3?_f3.getMarkRegExp():null;if(!_20b){_13d.setItems(_f6());}
if(!_124){_124=createTiddlyElement(document.body,"div",_121,"yourSearchResult");}else{if(_124.parentNode!=document.body){document.body.appendChild(_124);}}
_146();highlightHack=null;};})();}
//%/