A skein approach to Bennequin type inequalities

Details A skein approach to Bennequin type inequalities A skein approach to Bennequin type inequalities

2007-09-13

arxiv.org/abs/0709.2141v1

Int. Math. Res. Not. 2008, Art. ID rnn116, 18 pp.

Mathematics

Geometric Topology

15 pages, many figures

Scientific paper

We give a simple unified proof for several disparate bounds on
Thurston-Bennequin number for Legendrian knots and self-linking number for
transverse knots in R^3, and provide a template for possible future bounds. As
an application, we give sufficient conditions for some of these bounds to be
sharp.

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