A Legendrian Thurston-Bennequin bound from Khovanov homology

Details A Legendrian Thurston-Bennequin bound from Khovanov homology A Legendrian Thurston-Bennequin bound from Khovanov homology

2005-08-31

arxiv.org/abs/math/0508649v3

Algebr. Geom. Topol. 5 (2005) 1637-1653

Mathematics

Geometric Topology

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-66.abs.html

Scientific paper

We establish an upper bound for the Thurston-Bennequin number of a Legendrian
link using the Khovanov homology of the underlying topological link. This bound
is sharp in particular for all alternating links, and knots with nine or fewer
crossings.

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