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

2021/12/04 by Putyra, Krzysztof K, Beliakova, Anna, Robert, Louis-Hadrien +1
#55U20 (Secondary) #57K18 (Primary) 18G40 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2112.02428

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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