English

Twisting bordered Khovanov homology

Geometric Topology 2014-06-13 v2

Abstract

We describe a bordered version of totally twisted Khovanov homology. We first twist Roberts's type DD structure by adding a "vertical" type DD structure which generalizes the vertical map in twisted tangle homology. One of the distinct advantages of our type DD structure is that it is homotopy equivalent to a type DD structure supported on "spanning tree" generators. We also describe how to twist Roberts's type AA structure for a left tangle in such a way that pairing our type AA and type DD structures will result in the totally twisted Khovanov homology.

Keywords

Cite

@article{arxiv.1403.0959,
  title  = {Twisting bordered Khovanov homology},
  author = {Nguyen D. Duong},
  journal= {arXiv preprint arXiv:1403.0959},
  year   = {2014}
}

Comments

56 pages, many figures

R2 v1 2026-06-22T03:20:15.656Z