The Khovanov-Rozansky Cohomology and Bennequin Inequalities

Details The Khovanov-Rozansky Cohomology and Bennequin Inequalities The Khovanov-Rozansky Cohomology and Bennequin Inequalities

2007-03-08

arxiv.org/abs/math/0703210v2

Mathematics

Geometric Topology

10 pages, 6 figures

Scientific paper

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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