Volume 8, issue 3 (2008)

Download This Article
with up-to-date links in citations
For screen
For printing
Recent Issues
Volume 1, 2001
Volume 2, 2002
Volume 3, 2003
Volume 4, 2004
Volume 5, 2005
Volume 6, 2006
Volume 7, 2007
Volume 8(1) 2008
Volume 8(2) 2008
Volume 8(3) 2008
Volume 8(4) 2008
Volume 9(1) 2009
Volume 9(2) 2009
Volume 9(3) 2009
Volume 9(4) 2009
Volume 10(1) 2010
Volume 10(2) 2010
The Journal
About the Journal
Editorial Board
Editorial Interests
Author Index
Editorial procedure
Submission Guidelines
Submission Page
Author copyright form
Subscriptions
Contacts
G&T Publications
GTP Author Index

Sign refinement for combinatorial link Floer homology

Étienne Gallais

Algebraic & Geometric Topology 8 (2008) 1581–1592

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.

Keywords

link floer homology, sign refinement

Mathematical Subject Classification

Primary: 57R58

References
Publication

Received: 4 July 2007
Revised: 30 May 2008
Accepted: 3 August 2008
Published: 15 September 2008

Authors
Étienne Gallais
Laboratoire de Mathématiques Jean Leray (LMJL)
UFR Sciences et Techniques
2 rue de la Houssinière - BP 92208
44 322 Nantes Cedex 3
France
http://www.math.sciences.univ-nantes.fr/~gallais/