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arXiv · 2009.06498

On some $p$-differential graded link homologies

You Qi·Joshua Sussan
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Abstract

We show that the triply graded Khovanov-Rozansky homology of knots and links over a field of positive odd characteristic $p$ descends to an invariant in the homotopy category finite-dimensional $p$-complexes. A $p$-extended differential on the triply graded homology discovered by Cautis is compatible with the $p$-DG structure. As a consequence we get a categorification of the Jones polynomial evaluated at an odd prime root of unity

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You Qi, Joshua Sussan. 2020-09-14. On some $p$-differential graded link homologies. https://doi.org/10.1017/fmp.2022.19

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