Legendrian links and the spanning tree model for Khovanov homology

Mathematics – Geometric Topology

Scientific paper

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This is the version published by Algebraic & Geometric Topology on 21 October 2006

Scientific paper

10.2140/agt.2006.6.1745

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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