On some $p$-differential graded link homologies
Quantum Algebra
2022-12-21 v2 Geometric Topology
Abstract
We show that the triply graded Khovanov-Rozansky homology of knots and links over a field of positive odd characteristic descends to an invariant in the homotopy category finite-dimensional -complexes. A -extended differential on the triply graded homology discovered by Cautis is compatible with the -DG structure. As a consequence we get a categorification of the Jones polynomial evaluated at an odd prime root of unity
Cite
@article{arxiv.2009.06498,
title = {On some $p$-differential graded link homologies},
author = {You Qi and Joshua Sussan},
journal= {arXiv preprint arXiv:2009.06498},
year = {2022}
}
Comments
53 pages. V2 contains corrections from referee reports. Comments welcome