Topology Seminar (Introductory Talk): Khovanov homology

Seminar | April 24 | 2:10-3 p.m. | 740 Evans Hall

 Sucharit Sarkar, UCLA

 Department of Mathematics

I will describe Khovanov's categorification of the Jones polynomial. We will talk about some applications of Khovanov homology to low-dimensional topology, such as Rasmussen's proof that the four-ball genus of the \((p,q)\) torus knot is \((p-1)(q-1)/2\). We will also talk about some directions in which the theory has been generalized.