A quantum categorification of the Alexander polynomial

Louis-Hadrien Robert; Emmanuel Wagner

doi:10.2140/gt.2022.26.1985

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arXiv · 1902.05648

A quantum categorification of the Alexander polynomial

Louis-Hadrien Robert·Emmanuel Wagner

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Abstract

Using a modified foam evaluation, we give a categorification of the Alexander polynomial of a knot. We also give a purely algebraic version of this knot homology which makes it appear as the infinite page of a spectral sequence starting at the reduced triply graded link homology of Khovanov--Rozansky.

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Louis-Hadrien Robert, Emmanuel Wagner. 2019-02-15. A quantum categorification of the Alexander polynomial. https://doi.org/10.2140/gt.2022.26.1985

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