The Khovanov-Rozansky Cohomology and Bennequin Inequalities

2007/03/08 by Hao Wu, Wu, Hao
Chemistry · Mathematics · #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Organometallic Compounds Synthesis and Characterization #Primary 57M25 #Secondary 57R17 #Symplectic Geometry (math.SG) #math.GT #math.SG #msc:57M25 #msc:57R17

paper · pdf · doi:10.48550/arxiv.math/0703210

10 pages, 6 figures

openalex publication_date 2007/03/08 · arxiv created 2007/04/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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