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2009 Grid diagrams and Khovanov homology
Jean-Marie Droz, Emmanuel Wagner
Algebr. Geom. Topol. 9(3): 1275-1297 (2009). DOI: 10.2140/agt.2009.9.1275

Abstract

We explain how to compute the Jones polynomial of a link from one of its grid diagrams and we observe a connection between Bigelow’s homological definition of the Jones polynomial and Kauffman’s definition of the Jones polynomial. Consequently, we prove that the Maslov grading on the Seidel–Smith symplectic link invariant coincides with the difference between the homological grading on Khovanov homology and the Jones grading on Khovanov homology. We give some evidence for the truth of the Seidel–Smith conjecture.

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Jean-Marie Droz. Emmanuel Wagner. "Grid diagrams and Khovanov homology." Algebr. Geom. Topol. 9 (3) 1275 - 1297, 2009. https://doi.org/10.2140/agt.2009.9.1275

Information

Received: 14 March 2009; Revised: 6 May 2009; Accepted: 12 May 2009; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1171.57011
MathSciNet: MR2520400
Digital Object Identifier: 10.2140/agt.2009.9.1275

Subjects:
Primary: 57M27

Rights: Copyright © 2009 Mathematical Sciences Publishers

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Vol.9 • No. 3 • 2009
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