English

The Khovanov Complex for Virtual Links

Geometric Topology 2007-05-23 v1

Abstract

In the present paper, we construct the Khovanov homology theory for virtual links. Besides the direct approach with Z_{2} coefficients we also describe the Khovanov homology for framed links and the Khovanov homology using ``double cover''. The latter two approaches are based on the notion of ``atom''.

Keywords

Cite

@article{arxiv.math/0501317,
  title  = {The Khovanov Complex for Virtual Links},
  author = {Vassily Olegovich Manturov},
  journal= {arXiv preprint arXiv:math/0501317},
  year   = {2007}
}