English

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

Geometric Topology 2022-10-05 v2 Algebraic Topology

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.

Keywords

Cite

@article{arxiv.2112.02428,
  title  = {Algebraic versus geometric categorification of the~Alexander polynomial: a~spectral sequence},
  author = {Krzysztof K Putyra and Anna Beliakova and Louis-Hadrien Robert and Emmanuel Wagner},
  journal= {arXiv preprint arXiv:2112.02428},
  year   = {2022}
}

Comments

Replaced by arXiv:2210.00878