The Khovanov-Rozansky Cohomology and Bennequin Inequalities

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We review Bennequin type inequalities established using various versions of the Khovanov-Rozansky cohomology. Then we give a new proof of a Bennequin type inequality established by the author, and derive new Bennequin type inequalities for knots using Gornik's version of the Khovanov-Rozansky cohomology, which generalize those established by Shumakovitch, Plamenevskaya and Kawamura using the Rasmussen invariant.
10 pages, 6 figures

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Geometric Topology, Symplectic Geometry, Primary 57M25, Secondary 57R17

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http://salesiana.dossiersoluciones.com/handle/123456789/126827

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0703210
 http://arxiv.org/abs/math/0703210

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arXiv