Braids, Transversal links and the Khovanov-Rozansky Theory
Hao Wu
Abstract
We establish some inequalities about the Khovanov-Rozansky cohomologies of braids. These give new upper bounds of the self-linking numbers of transversal links in standard contact S3 which is sharper than the well known bound given by the HOMFLY polynomial. We also introduce a sequence of transversal link invariants, and discuss some of their properties.
Create a lesson
Related papers
Mapping class groups have a unique Polish group structure
Tyrone Ghaswala, Sumun Iyer, Robert Alonzo Lyman et al.
Around the Andreadakis-Johnson filtration
Yusuke Kuno
Mapping class groups of simply connected closed spin 5-manifolds with no 2- and 3-torsion in homology
Huize Jin
A note on surfaces with large systoles
Yifei Cai
Real ideal points, Conway spheres, and left-orderable Dehn fillings
Yi Wang
All once-extended 3D TQFTs are Reshetikhin--Turaev theories
Glen Lim