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2005 A Legendrian Thurston–Bennequin bound from Khovanov homology
Lenhard Ng
Algebr. Geom. Topol. 5(4): 1637-1653 (2005). DOI: 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.

Citation

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Lenhard Ng. "A Legendrian Thurston–Bennequin bound from Khovanov homology." Algebr. Geom. Topol. 5 (4) 1637 - 1653, 2005. https://doi.org/10.2140/agt.2005.5.1637

Information

Received: 16 September 2005; Accepted: 21 November 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1091.57009
MathSciNet: MR2186113
Digital Object Identifier: 10.2140/agt.2005.5.1637

Subjects:
Primary: 57M27
Secondary: 53D12 , 57R17

Keywords: alternating link , Khovanov homology , Legendrian link , Thurston–Bennequin number

Rights: Copyright © 2005 Mathematical Sciences Publishers

Vol.5 • No. 4 • 2005
MSP
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