English

HOMFLYPT Homology over $\mathbb{Z}_2$ Detects Unlinks

Geometric Topology 2018-05-24 v3

Abstract

We apply the Rasmussen spectral sequence to prove that the Z3\mathbb{Z}^3-graded vector space structure of the HOMFLYPT homology over Z2\mathbb{Z}_2 detects unlinks. Our proof relies on a theorem of Batson and Seed stating that the Z2\mathbb{Z}^2-graded vector space structure of the Khovanov homology over Z2\mathbb{Z}_2 detects unlinks.

Keywords

Cite

@article{arxiv.1708.07139,
  title  = {HOMFLYPT Homology over $\mathbb{Z}_2$ Detects Unlinks},
  author = {Hao Wu},
  journal= {arXiv preprint arXiv:1708.07139},
  year   = {2018}
}

Comments

7 pages with a 6-page appendix