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The Khovanov-Rozansky Cohomology and Bennequin Inequalities

Hao Wu
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Abstract

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.

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Hao Wu. 2007-04-03. The Khovanov-Rozansky Cohomology and Bennequin Inequalities. https://arxiv.org/abs/math/0703210

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