A Legendrian Thurston–Bennequin bound from Khovanov homology

Lenhard Ng

Type: Article

Publication Date: 2005-11-25

Citations: 58

DOI: https://doi.org/10.2140/agt.2005.5.1637

Abstract

We establish an upper bound for the Thurston-Bennequin number of a Legendrian link using the Khovanov homology of the underlying topological link.This bound is sharp in particular for all alternating links, and knots with nine or fewer crossings.

Locations

Algebraic & Geometric Topology - View - PDF
arXiv (Cornell University) - View - PDF
Project Euclid (Cornell University) - View - PDF
DataCite API - View

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