Robert Lipshitz, University of Oregon

Title: Trivial tangles and Floer homology

Abstract: Tangles are pieces of knots. After introducing tangles, two notions of equivalence for them, and some examples and (knot-theoretic) uses of them, we will sketch an invariant which can be used to check if tangles are boundary parallel---one notion of triviality for tangles. This is joint work with A. Alishahi, building on earlier work with P. Ozsvath and D. Thurston.