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

Published 4 Dec 2021 in math.GT and math.AT | (2112.02428v2)

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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