Seiberg–Witten Floer homology and symplectic forms on S1 × M3

Kutluhan, Çağatay; Taubes, Clifford Henry

doi:10.2140/gt.2009.13.493

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Seiberg–Witten Floer homology and symplectic forms on $\mathrm{S^1\times M^3}$

Çağatay Kutluhan and Clifford Henry Taubes

Geometry & Topology 13 (2009) 493–525

DOI: 10.2140/gt.2009.13.493

Abstract

Let $M$ be a closed, connected, orientable three-manifold. The purpose of this paper is to study the Seiberg–Witten Floer homology of $M$ given that $S^{1} \times M$ admits a symplectic form.

Keywords

Seiberg–Witten Floer homology, symplectic form

Mathematical Subject Classification 2000

Primary: 57R17, 57R57

References

Publication

Received: 25 April 2008

Revised: 4 September 2008

Accepted: 7 October 2008

Preview posted: 12 November 2008

Published: 1 January 2009

Proposed: Ron Stern

Seconded: Ron Fintushel, Peter Ozsváth

Authors

Çağatay Kutluhan
Department of Mathematics The University of Michigan 530 Church Street Ann Arbor, MI 48109 USA

Clifford Henry Taubes
Department of Mathematics Harvard University One Oxford Street Cambridge, MA 02138 USA

Volume 13, issue 1 (2009)