A Turaev surface approach to Khovanov homology
Oliver T. Dasbach
Louisiana State University, Baton Rouge, USAAdam M. Lowrance
Vassar College, Poughkeepsie, USA
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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