Serre duality for Khovanov-Rozansky homology

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.

Publication
Selecta Math. (N.S.) 25 (2019), no. 5, Art. 79, 33 pp.
Date