JournalsqtVol. 5, No. 4pp. 425–486

A Turaev surface approach to Khovanov homology

  • Oliver T. Dasbach

    Louisiana State University, Baton Rouge, USA

  • Adam M. Lowrance

    Vassar College, Poughkeepsie, USA
A Turaev surface approach to Khovanov homology cover
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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 this article

Oliver T. Dasbach, Adam M. Lowrance, A Turaev surface approach to Khovanov homology. Quantum Topol. 5 (2014), no. 4, pp. 425–486

DOI 10.4171/QT/55