On some $p$-differential graded link homologies II

You Qi; Joshua Sussan

doi:10.2140/agt.2023.23.3357

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arXiv · 2108.10722

On some $p$-differential graded link homologies II

You Qi·Joshua Sussan

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Abstract

In arXiv:2009.06498, a link invariant categorifying the Jones polynomial at a $2p$th root of unity, where $p$ is an odd prime, was constructed. This categorification utilized an $N=2$ specialization of a differential introduced by Cautis. Here we give a family of link homologies where the Cautis differential is specialized to a positive integer of the form $N=kp+2$. When $k$ is even, all these link homologies categorify the Jones polynomial evaluated at a $2p$th root of unity, but they are non-isomorphic invariants.

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You Qi, Joshua Sussan. 2021-08-24. On some $p$-differential graded link homologies II. https://doi.org/10.2140/agt.2023.23.3357

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