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2008 Sign refinement for combinatorial link Floer homology
Étienne Gallais
Algebr. Geom. Topol. 8(3): 1581-1592 (2008). DOI: 10.2140/agt.2008.8.1581

Abstract

Link Floer homology is an invariant for links which has recently been described entirely in a combinatorial way. Originally constructed with mod 2 coefficients, it was generalized to integer coefficients thanks to a sign refinement. In this paper, thanks to the spin extension of the permutation group we give an alternative construction of the combinatorial link Floer chain complex associated to a grid diagram with integer coefficients. In particular we prove that the sign refinement comes from a 2–cohomological class corresponding to the spin extension of the permutation group.

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Étienne Gallais. "Sign refinement for combinatorial link Floer homology." Algebr. Geom. Topol. 8 (3) 1581 - 1592, 2008. https://doi.org/10.2140/agt.2008.8.1581

Information

Received: 4 July 2007; Revised: 30 May 2008; Accepted: 3 August 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1149.57043
MathSciNet: MR2443255
Digital Object Identifier: 10.2140/agt.2008.8.1581

Subjects:
Primary: 57R58

Rights: Copyright © 2008 Mathematical Sciences Publishers

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