English

Chain homotopy maps and a universal differential for Khovanov-type homology

Geometric Topology 2009-10-06 v2 Quantum Algebra

Abstract

We give chain homotopy maps of Khovanov-type link homology of a universal differential. The universal differential, discussed by Mikhail Khovanov, Marco Mackaay, Paul Turner and Pedro Vaz, contains the original Khovanov's differential and Lee's differential. We also consider the conditions of any differential ensuring the Reidemeister invariance for the chain homotopy maps.

Keywords

Cite

@article{arxiv.0907.2104,
  title  = {Chain homotopy maps and a universal differential for Khovanov-type homology},
  author = {Noboru Ito},
  journal= {arXiv preprint arXiv:0907.2104},
  year   = {2009}
}

Comments

10 pages, second version: Revised calculations mainly concerned with outside Reidemeister moves