Caltech Home > PMA Home > Master Calendar > Caltech/USC/UCLA Joint Topology Seminar
Monday, April 29, 2019
5:00 PM - 6:00 PM
Linde Hall 310

# Caltech/USC/UCLA Joint Topology Seminar

A spectral sequence from Khovanov homology to knot Floer homology
Nathan Dowlin, Department of Mathematics, Dartmouth College,

Khovanov homology and knot Floer homology are two knot invariants which are defined using very different techniques, with Khovanov homology having its roots in representation theory and knot Floer homology in symplectic geometry. However, they seem to contain a lot of the same topological data about knots. Rasmussen conjectured that this similarity stems from a spectral sequence from Khovanov homology to knot Floer homology. In this talk I will give a construction of this spectral sequence. The construction utilizes a recently defined knot homology theory HFK_2 which provides a framework in which the two theories can be related.