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The Seiberg–Witten equations and the Weinstein conjecture

Clifford Henry Taubes

Geometry & Topology 11 (2007) 2117–2202

DOI: 10.2140/gt.2007.11.2117

arXiv: math.SG/0611007
Abstract

Let M denote a compact, oriented 3–dimensional manifold and let a denote a contact 1–form on M; thus a∧da is nowhere zero. This article proves that the vector field that generates the kernel of da has a closed integral curve.

Keywords

Weinstein conjecture, vector field, contact form, 3-manifold
Mathematical Subject Classification

Primary: 57R17

Secondary: 57R57
References
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Publication

Received: 14 January 2007
Accepted: 18 May 2007
Published: 15 October 2007
Proposed: Robion Kirby
Seconded: Tom Mrowka, Ron Fintushel
Authors
Clifford Henry Taubes
Department of Mathematics
Harvard University
Cambridge MA 02133