## Geometry & Topology

### On the Floer homology of plumbed three-manifolds

#### 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.

#### Article information

Source
Geom. Topol., Volume 7, Number 1 (2003), 185-224.

Dates
Revised: 28 January 2003
Accepted: 9 March 2003
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.gt/1513883096

Digital Object Identifier
doi:10.2140/gt.2003.7.185

Mathematical Reviews number (MathSciNet)
MR1988284

Zentralblatt MATH identifier
1130.57302

#### Citation

Ozsváth, Peter; Szabó, Zoltán. On the Floer homology of plumbed three-manifolds. Geom. Topol. 7 (2003), no. 1, 185--224. doi:10.2140/gt.2003.7.185. https://projecteuclid.org/euclid.gt/1513883096

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