Videos

Khovanov homology and knot detection

Presenter
April 29, 2022
Abstract
In this talk I’ll outline a proof that Khovanov homology detects the T(2,5) torus knot. In particular, I’ll explain why a knot with the same Khovanov homology as T(2,5) must be fibered, and then use some deep results in Floer homology to see what we can deduce about the monodromy of that fibration. This is based on joint work with John Baldwin and Ying Hu.