Maximal Thurston-Bennequin Number of Two-Bridge Links

Details Maximal Thurston-Bennequin Number of Two-Bridge Links Maximal Thurston-Bennequin Number of Two-Bridge Links

2000-08-31

arxiv.org/abs/math/0008242v3

Algebr. Geom. Topol. 1 (2001) 427-434

Mathematics

Geometric Topology

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

Scientific paper

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.

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