English

A refinement of Khovanov homology

Geometric Topology 2021-07-21 v1

Abstract

We refine Khovanov homology in the presence of an involution on the link. This refinement takes the form of a triply-graded theory, arising from a pair of filtrations. We focus primarily on strongly invertible knots and show, for instance, that this refinement is able to detect mutation.

Keywords

Cite

@article{arxiv.1908.00082,
  title  = {A refinement of Khovanov homology},
  author = {Andrew Lobb and Liam Watson},
  journal= {arXiv preprint arXiv:1908.00082},
  year   = {2021}
}

Comments

39 pages, 33 figures