English

On links with Khovanov homology of small ranks

Geometric Topology 2020-05-12 v1

Abstract

We classify all links whose Khovanov homology have ranks no greater than 8, and all three-component links whose Khovanov homology have ranks no greater than 12, where the coefficient ring is Z/2. The classification is based on the previous results of Kronheimer-Mrowka, Batson-Seed, Baldwin-Sivek, and the authors.

Keywords

Cite

@article{arxiv.2005.04782,
  title  = {On links with Khovanov homology of small ranks},
  author = {Yi Xie and Boyu Zhang},
  journal= {arXiv preprint arXiv:2005.04782},
  year   = {2020}
}

Comments

11 pages, 2 figures