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

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

2007-02-13

arxiv.org/abs/math/0702366v2

Mathematics

Symplectic Geometry

There are minor corrections in this new version

Scientific paper

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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