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arXiv · 2112.02428

Algebraic versus geometric categorification of the~Alexander polynomial: a~spectral sequence

Krzysztof K Putyra·Anna Beliakova·Louis-Hadrien Robert·Emmanuel Wagner
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Abstract

We construct a bigraded spectral sequence from the gl(0)-homology to knot Floer homology. This spectral sequence is of Bockstein type and comes from a subtle manipulation of coefficients. The main tools are quantum traces of foams and of singular Soergel bimodules.

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Krzysztof K Putyra, Anna Beliakova, Louis-Hadrien Robert, Emmanuel Wagner. 2021-12-04. Algebraic versus geometric categorification of the~Alexander polynomial: a~spectral sequence. https://arxiv.org/abs/2112.02428

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