Geometry & Topology
- Geom. Topol.
- Volume 7, Number 1 (2003), 185-224.
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.
Geom. Topol., Volume 7, Number 1 (2003), 185-224.
Received: 15 April 2002
Revised: 28 January 2003
Accepted: 9 March 2003
First available in Project Euclid: 21 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57R58: Floer homology
Secondary: 57M27: Invariants of knots and 3-manifolds 53D40: Floer homology and cohomology, symplectic aspects 57N12: Topology of $E^3$ and $S^3$ [See also 57M40]
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