Geometry & Topology, Vol. 7 (2003) Paper no. 5, pages 185--224.

On the Floer homology of plumbed three-manifolds

Peter Ozsvath, Zoltan Szabo

Abstract. 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.

Keywords. Plumbing manifolds, Seifert fibered spaces, Floer homology

AMS subject classification. Primary: 57R58. Secondary: 57M27, 53D40, 57N12.

DOI: 10.2140/gt.2003.7.185

E-print: arXiv:math.SG/0203265

Submitted to GT on 15 April 2002. (Revised 28 January 2003.) Paper accepted 9 March 2003. Paper published 24 March 2003.

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Peter Ozsvath, Zoltan Szabo
Department of Mathematics, Columbia University
New York 10027, USA
and
Department of Mathematics, Princeton University
New Jersey 08540, USA
Email: petero@math.columbia.edu, szabo@math.princeton.edu

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