Geodesic
Sign refinement for combinatorial link Floer homology
Gallais, Étienne1
1Laboratoire de Mathématiques Jean Leray (LMJL), UFR Sciences et Techniques, 2 rue de la Houssinière - BP 92208, 44 322 Nantes Cedex 3, France
Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1581-1592
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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.

DOI : 10.2140/agt.2008.8.1581
Keywords: link floer homology, sign refinement

Gallais, Étienne  1

1 Laboratoire de Mathématiques Jean Leray (LMJL), UFR Sciences et Techniques, 2 rue de la Houssinière - BP 92208, 44 322 Nantes Cedex 3, France 
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Gallais, Étienne. Sign refinement for combinatorial link Floer homology. Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1581-1592. doi: 10.2140/agt.2008.8.1581

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