paper

Serre duality for Khovanov-Rozansky homology

arXiv:1902.08281

Abstract

We prove that the full twist is a Serre functor in the homotopy category of type A Soergel bimodules. As a consequence, we relate the top and bottom Hochschild degrees in Khovanov-Rozansky homology, categorifying a theorem of Kálmán.

24 pages