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

Clifford Henry Taubes
2009 Geometry and Topology  
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 Spin C structure on M give closed, integral curves of the vector field that generates the kernel of da.
doi:10.2140/gt.2009.13.1337 fatcat:xv6xnxdnezfzhiysbrhnnn6n7e