English

Khovanov homology and periodic links

Geometric Topology 2017-07-13 v2

Abstract

Based on the results of the second author, we define an equivariant version of Lee and Bar-Natan homology for periodic links and show that there exists an equivariant spectral sequence from the equivariant Khovanov homology to equivariant Lee homology. As a result we obtain new obstructions for a link to be periodic. These obstructions generalize previous results of Przytycki and of the second author.

Keywords

Cite

@article{arxiv.1704.07316,
  title  = {Khovanov homology and periodic links},
  author = {Maciej Borodzik and Wojciech Politarczyk},
  journal= {arXiv preprint arXiv:1704.07316},
  year   = {2017}
}

Comments

23 pages, 2 figures. Version 2 contains additional section on periodicity of links