A skein approach to Bennequin type inequalities

Lenhard Ng

A skein approach to Bennequin type inequalities

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arxiv 0709.2141 v1 pith:BBRULDNR submitted 2007-09-13 math.GT math.SG

Lenhard Ng This is my paper · ORCID

classification math.GTmath.SG

keywords boundsgiveknotsnumberapplicationapproachbennequinconditions

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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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Legendrian DGA Representations and the Colored Kauffman Polynomial
math.SG 2019-08 accept novelty 7.0 of 10

For every Legendrian knot, ungraded n-dimensional representation numbers of its contact homology DGA equal the n-colored Kauffman polynomial specialized at a^{-1}=0.

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