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

Némethi, András

doi:10.2140/gt.2005.9.991

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

András Némethi

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, $\mathbb{Q}$–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

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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/

Volume 9, issue 2 (2005)