Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Remote Access
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


On Legendrian knots and polynomial invariants

Author: Emmanuel Ferrand
Journal: Proc. Amer. Math. Soc. 130 (2002), 1169-1176
MSC (1991): Primary 53C15, 57M25
Published electronically: September 14, 2001
MathSciNet review: 1873793
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is proved in this note that the analogues of the Bennequin inequality which provide an upper bound for the Bennequin invariant of a Legendrian knot in the standard contact three dimensional space in terms of the least degree in the framing variable of the HOMFLY and the Kauffman polynomials are not sharp. Furthermore, the relationships between these restrictions on the range of the Bennequin invariant are investigated, which leads to a new simple proof of the inequality involving the Kauffman polynomial.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 53C15, 57M25

Retrieve articles in all journals with MSC (1991): 53C15, 57M25

Additional Information

Emmanuel Ferrand
Affiliation: Institut Fourier, BP 74, 38402 St Martin d’Hères Cedex, France

PII: S 0002-9939(01)06153-6
Keywords: Contact topology, polynomial invariants of knots
Received by editor(s): July 11, 2000
Received by editor(s) in revised form: October 24, 2000
Published electronically: September 14, 2001
Communicated by: Ronald A. Fintushel
Article copyright: © Copyright 2001 American Mathematical Society

Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia