# Tautological classes and symmetry in Khovanov-Rozansky homology

## Location

Zoom

Tuesday, April 6, 2021 1:00 PM

Eugene Gorsky (University of California, Davis)

We define a new family of commuting operators F_k in Khovanov-Rozansky link homology, similar to the action of tautological classes in cohomology of character varieties. We prove that F_2 satisfies "hard Lefshetz property" and hence exhibits the symmetry in Khovanov-Rozansky homology conjectured by Dunfield, Gukov and Rasmussen. This is a joint work with Matt Hogancamp and Anton Mellit.