## Geometry & Topology

### The Seiberg–Witten equations and the Weinstein conjecture II: More closed integral curves of the Reeb vector field

Clifford Henry Taubes

#### Abstract

Let $M$ denote a compact, orientable 3–dimensional manifold and let a denote a contact 1–form on $M$; thus a $∧$ da is nowhere zero. This article explains how the Seiberg–Witten Floer homology groups as defined for any given $Spinℂ$ structure on $M$ give closed, integral curves of the vector field that generates the kernel of $da$.

#### Article information

Source
Geom. Topol., Volume 13, Number 3 (2009), 1337-1417.

Dates
Received: 22 April 2007
Revised: 24 November 2008
Accepted: 1 December 2008
First available in Project Euclid: 20 December 2017

Permanent link to this document
https://projecteuclid.org/euclid.gt/1513800249

Digital Object Identifier
doi:10.2140/gt.2009.13.1337

Mathematical Reviews number (MathSciNet)
MR2496048

Zentralblatt MATH identifier
1200.57018

#### Citation

Taubes, Clifford Henry. The Seiberg–Witten equations and the Weinstein conjecture II: More closed integral curves of the Reeb vector field. Geom. Topol. 13 (2009), no. 3, 1337--1417. doi:10.2140/gt.2009.13.1337. https://projecteuclid.org/euclid.gt/1513800249

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