Geometry & Topology 9 (2005) 991–1042

DOI: 10.2140/gt.2005.9.991

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, Q–homology spheres, Reidemeister–Turaev torsion, normal surface singularities, rational singularities, elliptic singularities

Mathematical Subject Classification

Primary: 57M27, 57R57

Secondary: 14B15, 14E15, 14J17, 32S25, 32S45

References

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Publication

Received: 22 August 2004
Accepted: 13 April 2005
Published: 1 June 2005
Proposed: Peter Ozsvath
Seconded: Walter Neumann, Tomasz Mrowka

Authors