Geodesic
On the Floer homology of plumbed three-manifolds
Ozsváth, Peter1 ; Szabó, Zoltán2
1 Department of Mathematics, Columbia University, New York 10027, USA
2 Department of Mathematics, Princeton University, New Jersey 08540, USA
Geometry & topology, Tome 7 (2003) no. 1, pp. 185-224.

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

We calculate the Heegaard Floer homologies for three-manifolds obtained by plumbings of spheres specified by certain graphs. Our class of graphs is sufficiently large to describe, for example, all Seifert fibered rational homology spheres. These calculations can be used to determine also these groups for other three-manifolds, including the product of a circle with a genus two surface.

DOI : 10.2140/gt.2003.7.185
Keywords: plumbing manifolds, Seifert fibered spaces, Floer homology

Ozsváth, Peter 1 ; Szabó, Zoltán 2

1 Department of Mathematics, Columbia University, New York 10027, USA
2 Department of Mathematics, Princeton University, New Jersey 08540, USA 
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Ozsváth, Peter; Szabó, Zoltán. On the Floer homology of plumbed three-manifolds. Geometry & topology, Tome 7 (2003) no. 1, pp. 185-224. doi : 10.2140/gt.2003.7.185. http://geodesic.mathdoc.fr/articles/10.2140/gt.2003.7.185/

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