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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
On the Floer homology of plumbed three-manifolds

Peter Ozsváth and Zoltán Szabó

Geometry & Topology 7 (2003) 185–224

arXiv: math.SG/0203265

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
Mathematical Subject Classification 2000
Primary: 57R58
Secondary: 57M27, 53D40, 57N12
References
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Publication
Received: 15 April 2002
Revised: 28 January 2003
Accepted: 9 March 2003
Published: 24 March 2003
Proposed: Robion Kirby
Seconded: Tomasz Mrowka, Yasha Eliashberg
Authors
Peter Ozsváth
Department of Mathematics
Columbia University
New York 10027
USA
Zoltán Szabó
Department of Mathematics
Princeton University
New Jersey 08540
USA