A quantum categorification of the Alexander polynomial
Geometric Topology
2022-12-21 v3 Quantum Algebra
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.
Cite
@article{arxiv.1902.05648,
title = {A quantum categorification of the Alexander polynomial},
author = {Louis-Hadrien Robert and Emmanuel Wagner},
journal= {arXiv preprint arXiv:1902.05648},
year = {2022}
}
Comments
v2: A technical Proposition was missing, now included as an Appendix. 57 pages, many figures. Comments welcome! v3: Some typos corrected. Introduction re-written