English

Khovanov homology of the 2-cable detects the unknot

Geometric Topology 2008-05-30 v1 Quantum Algebra

Abstract

We prove that the Khovanov homology of the 2-cable detects the unknot. A corollary is that Khovanov's categorification of the 2-colored Jones polynomial detects the unknot.

Keywords

Cite

@article{arxiv.0805.4418,
  title  = {Khovanov homology of the 2-cable detects the unknot},
  author = {Matthew Hedden},
  journal= {arXiv preprint arXiv:0805.4418},
  year   = {2008}
}

Comments

4 pages, no figures