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G&T Monographs |
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On the Ozsvath-Szabo invariant of negative definite plumbed
3-manifolds
András Némethi
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Geometry & Topology 9 (2005)
991–1042
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Abstract
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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.
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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
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Mathematical Subject Classification
Primary: 57M27, 57R57
Secondary: 14B15, 14E15, 14J17, 32S25,
32S45
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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
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