English

Khovanov homology for virtual tangles and applications

Geometric Topology 2016-02-02 v1

Abstract

We extend the cobordism based categorification of the virtual Jones polynomial to virtual tangles. This extension is combinatorial and has semi-local properties. We use the semi-local property to prove an applications, i.e. we give a discussion of Lee's degeneration of virtual homology.

Keywords

Cite

@article{arxiv.1212.0185,
  title  = {Khovanov homology for virtual tangles and applications},
  author = {Daniel Tubbenhauer},
  journal= {arXiv preprint arXiv:1212.0185},
  year   = {2016}
}

Comments

37 pages, lots of figures, followup of the paper arXiv:1111.0609

R2 v1 2026-06-21T22:47:26.282Z