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arXiv:1107.2344 [math.GT]AbstractReferencesReviewsResources

A Turaev surface approach to Khovanov homology

Oliver T. Dasbach, Adam M. Lowrance

Published 2011-07-12, updated 2013-01-30Version 2

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.

Comments: 30 pages, 18 figures, added sections on virtual links and Reidemeister moves
Categories: math.GT
Subjects: 57M25, 57M27, 57M15
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