Volume 11, issue 4 (2007)

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The Seiberg–Witten equations and the Weinstein conjecture

Clifford Henry Taubes

Geometry & Topology 11 (2007) 2117–2202
 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 $a\wedge da$ 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
Primary: 57R17
Secondary: 57R57
Publication
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