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G&T Monographs |
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The Seiberg–Witten equations and the Weinstein
conjecture
Clifford Henry Taubes
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Geometry & Topology 11 (2007)
2117–2202
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Abstract
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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.
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Keywords
Weinstein conjecture, vector field,
contact form, 3-manifold
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Mathematical Subject Classification
Primary: 57R17
Secondary: 57R57
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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
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