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