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

2007/02/13 by Taubes, Clifford Henry
#57R17 #57R57 #FOS: Mathematics #Geometric Topology (math.GT) #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.math/0702366

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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