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Legendrian links and the spanning tree model for Khovanov homology

Hao Wu

math.GTarXiv:math/0605630

Abstract

We use the spanning tree model for Khovanov homology to study Legendrian links. This leads to an alternative proof for Ng's Khovanov bound for the Thurston-Bennequin number and to both a necessary and a sufficient condition for this bound to be sharp.

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