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Categorification at prime roots of unity and hopfological finiteness

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arxiv 1509.00438 v2 pith:YJE3SLRX submitted 2015-09-01 math.QA math.KT

You Qi , Joshua Sussan This is my paper · ORCID
classification math.QAmath.KT
keywords primerootsunitycategorificationhopfologicalprojectoralgebracategorical
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We survey some recent results in hopfological algebra and the program of categorification at prime roots of unity. A categorical Jones-Wenzl projector at prime roots of unity is studied, and it is shown that this projector is hopfologically finite in special characteristics, while generically it is infinite.

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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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