paper

Maximal Thurston-Bennequin Number of Two-Bridge Links

arXiv:math/0008242 · doi:10.2140/agt.2001.1.427

Abstract

We compute the maximal Thurston-Bennequin number for a Legendrian two-bridge knot or oriented two-bridge link in standard contact R^3, by showing that the upper bound given by the Kauffman polynomial is sharp. As an application, we present a table of maximal Thurston-Bennequin numbers for prime knots with nine or fewer crossings.

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol1/agt-1-21.abs.html

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