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

Clifford Henry Taubes
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Abstract

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

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Clifford Henry Taubes. 2007-02-16. The Seiberg-Witten equations and the Weinstein conjecture II: More closed integral curves of the Reeb vector field. https://arxiv.org/abs/math/0702366

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