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2008 Matrix factorizations and link homology II
Mikhail Khovanov, Lev Rozansky
Geom. Topol. 12(3): 1387-1425 (2008). DOI: 10.2140/gt.2008.12.1387


To a presentation of an oriented link as the closure of a braid we assign a complex of bigraded vector spaces. The Euler characteristic of this complex (and of its triply-graded cohomology groups) is the HOMFLYPT polynomial of the link. We show that the dimension of each cohomology group is a link invariant.


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Mikhail Khovanov. Lev Rozansky. "Matrix factorizations and link homology II." Geom. Topol. 12 (3) 1387 - 1425, 2008.


Received: 2 February 2006; Revised: 2 April 2008; Accepted: 2 October 2006; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1146.57018
MathSciNet: MR2421131
Digital Object Identifier: 10.2140/gt.2008.12.1387

Primary: 57M27
Secondary: 18G99

Keywords: HOMFLY-PT polynomial , link homology

Rights: Copyright © 2008 Mathematical Sciences Publishers

Vol.12 • No. 3 • 2008
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