Volume 9, issue 2 (2005)

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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
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
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
András Némethi
Department of Mathematics
Ohio State University
Columbus
Ohio 43210
USA
http://www.math.ohio-state.edu/~nemethi/