Geodesic
Computing HF by factoring mapping classes
Lipshitz, Robert1 ; Ozsváth, Peter S1 ; Thurston, Dylan P1
1 Department of Mathematics, Columbia University, MC 4425, 2990 Broadway, New York, NY 10027, USA
Geometry & topology, Tome 18 (2014) no. 5, pp. 2547-2681.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Bordered Heegaard Floer homology is an invariant for 3–manifolds with boundary. In particular, this invariant associates to a handle decomposition of a surface F a differential graded algebra, and to an arc-slide between two handle decompositions, a bimodule over the two algebras. In this paper, we describe these bimodules for arc-slides explicitly, and then use them to give a combinatorial description of HF̂ of a closed 3–manifold, as well as the bordered Floer homology of any 3–manifold with boundary.

DOI : 10.2140/gt.2014.18.2547
Classification : 57M27, 53D40
Keywords: Heegaard Floer homology, mapping class group, arc-slides

Lipshitz, Robert 1 ; Ozsváth, Peter S 1 ; Thurston, Dylan P 1

1 Department of Mathematics, Columbia University, MC 4425, 2990 Broadway, New York, NY 10027, USA 
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Lipshitz, Robert; Ozsváth, Peter S; Thurston, Dylan P. Computing HF by factoring mapping classes. Geometry & topology, Tome 18 (2014) no. 5, pp. 2547-2681. doi : 10.2140/gt.2014.18.2547. http://geodesic.mathdoc.fr/articles/10.2140/gt.2014.18.2547/

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