English

Khovanov homology detects the figure-eight knot

Geometric Topology 2021-02-03 v1

Abstract

Using Dowlin's spectral sequence from Khovanov homology to knot Floer homology, we prove that reduced Khovanov homology (over Q\mathbb{Q}) detects the figure-eight knot.

Keywords

Cite

@article{arxiv.2007.01269,
  title  = {Khovanov homology detects the figure-eight knot},
  author = {John A. Baldwin and Nathan Dowlin and Adam Simon Levine and Tye Lidman and Radmila Sazdanovic},
  journal= {arXiv preprint arXiv:2007.01269},
  year   = {2021}
}