Serre duality for Khovanov-Rozansky homology
Representation Theory
2020-03-19 v2 Geometric Topology
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 K\'alm\'an.
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Cite
@article{arxiv.1902.08281,
title = {Serre duality for Khovanov-Rozansky homology},
author = {Eugene Gorsky and Matthew Hogancamp and Anton Mellit and Keita Nakagane},
journal= {arXiv preprint arXiv:1902.08281},
year = {2020}
}
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24 pages