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On sl(N) link homology with mod N coefficients

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arxiv 2111.02287 v2 pith:EXQJ7CN2 submitted 2021-11-03 math.GT math.QA

Joshua Wang This is my paper · ORCID
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keywords homologycharacteristiclinkcoefficientsfeaturesoperatorspecialconstruct
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We construct an operator on sl(N) link homology with coefficients in a ring whose characteristic divides N. When P is prime, we use this operator to exhibit structural features of sl(P) link homology that are special to characteristic P that generalize well-known features of Khovanov homology that are special to characteristic 2.

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Cited by 1 Pith paper

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  1. Remarks on some infinitesimal symmetries of Khovanov--Rozansky homologies in finite characteristic

    math.GT 2024-12 conditional novelty 6.0 of 10

    A p-differential algebra argument reproves base point independence for characteristic-p Khovanov-Rozansky homology and yields new sl2-symmetry consequences for link homology.

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