Geometry/topology Seminar
Monday, November 19, 2018, 3:15pm, 119 Physics
Ina Petkova (Dartmouth College, Mathematics)
Knot Floer homology and the gl(1|1) link invariant
Abstract:- The Reshetikhin-Turaev construction for the standard representation of the quantum group gl(1|1) sends tangles to C(q)-linear maps in such a way that a knot is sent to its Alexander polynomial. After a brief review of this construction, I will give an introduction to tangle Floer homology a combinatorial generalization of knot Floer homology which sends tangles to (homotopy equivalence classes of) bigraded dg bimodules. Finally, I will discuss how to see tangle Floer homology as a categorification of the Reshetikhin-Turaev invariant. This is joint work with Alexander Ellis and Vera Vertesi. [video]
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