March 2017 April 2017 |

4:00 pm Monday, April 3, 2017 Topology Seminar: Transverse knots and combinatorial knot Floer homologyby Shea Vela-Vick (LSU) in HBH 427- 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.
Submitted by dk27@rice.edu |