On the Floer homology of plumbed three-manifolds

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

Forward citations

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

Volume 7, issue 1 (2003)

Peter Ozsváth and Zoltán Szabó