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

Çağatay Kutluhan; Clifford Henry Taubes

doi:10.2140/gt.2009.13.493

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Home > Journals > Geom. Topol. > Volume 13 > Issue 1 > Article

2009 Seiberg–Witten Floer homology and symplectic forms on $\mathrm{S^1\times M^3}$

Çağatay Kutluhan, Clifford Henry Taubes

Geom. Topol. 13(1): 493-525 (2009). DOI: 10.2140/gt.2009.13.493

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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.

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Çağatay Kutluhan. Clifford Henry Taubes. "Seiberg–Witten Floer homology and symplectic forms on $\mathrm{S^1\times M^3}$." Geom. Topol. 13 (1) 493 - 525, 2009. https://doi.org/10.2140/gt.2009.13.493

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Received: 25 April 2008; Revised: 4 September 2008; Accepted: 7 October 2008; Published: 2009

First available in Project Euclid: 20 December 2017

zbMATH: 1182.57020

MathSciNet: MR2469523

Digital Object Identifier: 10.2140/gt.2009.13.493

Subjects:

Primary: 57R17 , 57R57

Keywords: Seiberg–Witten Floer homology , symplectic form

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Çağatay Kutluhan, Clifford Henry Taubes "Seiberg–Witten Floer homology and symplectic forms on $\mathrm{S^1\times M^3}$," Geometry & Topology, Geom. Topol. 13(1), 493-525, (2009)

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