arXiv:0709.2141 [math.GT]AbstractReferencesReviewsResources
A skein approach to Bennequin type inequalities
Published 2007-09-13Version 1
We give a simple unified proof for several disparate bounds on Thurston-Bennequin number for Legendrian knots and self-linking number for transverse knots in R^3, and provide a template for possible future bounds. As an application, we give sufficient conditions for some of these bounds to be sharp.
Comments: 15 pages, many figures
Journal: Int. Math. Res. Not. 2008, Art. ID rnn116, 18 pp.
Keywords: bennequin type inequalities, skein approach, legendrian knots, simple unified proof, sufficient conditions
Tags: journal article
Related articles: Most relevant | Search more
Classical invariants of Legendrian knots in the 3-dimensional torus
arXiv:2005.04173 [math.GT] (Published 2020-05-08)
On the Support Genus of Legendrian Knots
Bennequin type inequalities in lens spaces