A property of the skein polynomial with an application to contact geometry

A. Stoimenow

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A property of the skein polynomial with an application to contact geometry

A. Stoimenow

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Abstract

We prove a finiteness property of the values of the skein polynomial of homogeneous knots which allows to establish large classes of such knots to have arbitrarily unsharp Bennequin inequality (for the Thurston-Bennequin invariant of any of their Legendrian embeddings in the standard contact structure of R^3), and a give a short proof that there are only finitely many among these knots that have given genus and given braid index.

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BibTeX RIS

A. Stoimenow. 2003-12-18. A property of the skein polynomial with an application to contact geometry. https://arxiv.org/abs/math/0008126

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