English

A sign assignment in totally twisted Khovanov homology

Geometric Topology 2014-10-01 v1

Abstract

We lift the characteristic-2 totally twisted Khovanov homology of Roberts and Jaeger to a theory with integer coefficients. The result is a complex computing reduced odd Khovanov homology for knots. This complex is equivalent to a spanning-tree complex whose differential is explicit modulo a sign ambiguity coming from the need to choose a sign assignment in the definition of odd Khovanov homology.

Keywords

Cite

@article{arxiv.1109.4982,
  title  = {A sign assignment in totally twisted Khovanov homology},
  author = {Andrew Manion},
  journal= {arXiv preprint arXiv:1109.4982},
  year   = {2014}
}

Comments

12 pages; 5 figures