Geometry & Topology, Vol. 9 (2005) Paper no. 23, pages 991--1042.

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

Andras Nemethi

Abstract. The main goal of the present article is the computation of the Heegaard Floer homology introduced by Ozsvath and Szabo 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, Ozsvath-Szabo Heegaard Floer homology, Seiberg-Witten invariants, Seifert manifolds, Lens spaces, Casson-Walker invariant, Q-homology spheres, Reidemeister--Turaev torsion, normal surface singularities, rational singularities, elliptic singularities

AMS subject classification. Primary: 57M27, 57R57. Secondary: 14E15, 14B15, 14J17, 32S25, 32S45.

E-print: arXiv:math.GT/0310083

DOI: 10.2140/gt.2005.9.991

Submitted to GT on 22 August 2004. Paper accepted 13 April 2005. Paper published 1 June 2005.

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Andras Nemethi
Department of Mathematics, Ohio State University
Columbus, OH 43210, USA
Renyi Institute of Mathematics, Budapest, Hungary

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