A Turaev surface approach to Khovanov homology
Geometric Topology
2015-03-03 v2
Abstract
We introduce Khovanov homology for ribbon graphs and show that the Khovanov homology of a certain ribbon graph embedded on the Turaev surface of a link is isomorphic to the Khovanov homology of the link (after a grading shift). We also present a spanning quasi-tree model for the Khovanov homology of a ribbon graph.
Cite
@article{arxiv.1107.2344,
title = {A Turaev surface approach to Khovanov homology},
author = {Oliver T. Dasbach and Adam M. Lowrance},
journal= {arXiv preprint arXiv:1107.2344},
year = {2015}
}
Comments
30 pages, 18 figures, added sections on virtual links and Reidemeister moves