The Bennequin number of n-trivial closed n-braids is negative

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A famous result of Bennequin states that for any braid representative of the unknot the Bennequin number is negative. We will extend this result to all n-trivial closed n-braids. This is a class of infinitely many knots closed under taking mirror images. Our proof relies on a non-standard parametrization of the Homfly polynomial.
7 pages

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Geometric Topology, Symplectic Geometry, 57M25; 57M27; 57M50

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http://salesiana.dossiersoluciones.com/handle/123456789/130446

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010278
 http://arxiv.org/abs/math/0010278
 Math. Res. Lett. 8 (2001), no. 5-6, 629--635

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arXiv