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A Turaev surface approach to Khovanov homology - MaRDI portal

A Turaev surface approach to Khovanov homology (Q2018366)

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A Turaev surface approach to Khovanov homology
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    A Turaev surface approach to Khovanov homology (English)
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    14 April 2015
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    Summary: 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.
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    Khovanov homology
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    Jones polynomial
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    Turaev surface
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    ribbon graph
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    knots
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    quasi-tree
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