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arXiv:math/0508649 [math.GT]AbstractReferencesReviewsResources

A Legendrian Thurston-Bennequin bound from Khovanov homology

Lenhard Ng

Published 2005-08-31, updated 2005-11-26Version 3

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.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-66.abs.html
Journal: Algebr. Geom. Topol. 5 (2005) 1637-1653
Categories: math.GT, math.SG
Subjects: 57M27, 57R17, 53D12
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