#### Volume 9, issue 2 (2005)

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On the Ozsvath-Szabo invariant of negative definite plumbed 3-manifolds

### András Némethi

Geometry & Topology 9 (2005) 991–1042
 arXiv: math.GT/0310083
##### Abstract

The main goal of the present article is the computation of the Heegaard Floer homology introduced by Ozsváth and Szabó for a family of plumbed rational homology 3–spheres. The main motivation is the study of the Seiberg–Witten type invariants of links of normal surface singularities.

##### Keywords
3–manifolds, Ozsváth–Szabó Heegaard Floer homology, Seiberg–Witten invariants, Seifert manifolds, Lens spaces, Casson–Walker invariant, $\mathbb{Q}$–homology spheres, Reidemeister–Turaev torsion, normal surface singularities, rational singularities, elliptic singularities
##### Mathematical Subject Classification 2000
Primary: 57M27, 57R57
Secondary: 14E15, 14B15, 14J17, 32S25, 32S45
##### Publication
Received: 22 August 2004
Accepted: 13 April 2005
Published: 1 June 2005
Proposed: Peter Ozsvath
Seconded: Walter Neumann, Tomasz Mrowka
##### Authors
 András Némethi Department of Mathematics Ohio State University Columbus Ohio 43210 USA http://www.math.ohio-state.edu/~nemethi/