Rice University

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Seminar

Mathematics

Speaker: Shea Vela-Vick
LSU

Topology Seminar: Transverse knots and combinatorial knot Floer homology

Monday, April 3, 2017
4:00 PM  to 5:00 PM

227  Herman Brown Hall
Rice University
6100 Main St
Houston, Texas, USA

In this talk, we describe a braid-theoretic approach to combinatorial knot Floer homology. To each transverse braid B in the standard contact 3-sphere, we associate a combinatorial complex which computes the knot Floer homology of the associated braid closure. Inside this combinatorial complex, we identify a cycle whose homology class is an invariant of the transverse knot specified by the braid B, and which agrees with the usual transverse invariant in knot Floer homology. This is all joint work with Peter Lambert-Cole.

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