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Symmetries of equivariant Khovanov-Rozansky homology

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arxiv 2306.10729 v3 pith:3ZK77UXD submitted 2023-06-19 math.GT math.QAmath.RT

You Qi , Louis-Hadrien Robert , Joshua Sussan , Emmanuel Wagner This is my paper
classification math.GTmath.QAmath.RT
keywords mathfrakactionequivarianthomologiesstructuresapplicationsconsequenceconstruct
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abstract

We construct an $\mathfrak{sl}_2$-action on equivariant $\mathfrak{gl}_N$-link homologies. As a consequence we obtain an action of $\mathfrak{sl}_2$ on these homologies as well as a $p$-DG structures for $p$ a prime number. We explore topological applications of these structures.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Lectures on SL(3) foams and link homology

    math.QA 2025-07 conditional novelty 1.0 of 10

    This is an expository review of SL(3) foam evaluation and its use in categorifying the Kuperberg quantum invariant, with no new theorems.

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