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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnn116, 18 pages, doi:10.1093/imrn/rnn116 published on September 30, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For Permissions, please e-mail: journals.permissions@oxfordjournals.org

A Skein Approach to Bennequin-Type Inequalities

Lenhard Ng

Mathematics Department, Duke University, Durham, NC 27708, U.S.A.

Correspondence: Correspondence to be sent to: ng{at}math.duke.edu

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 Formula , and provide a template for possible future bounds. As an application, we give sufficient conditions for some of these bounds to be sharp.


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