Equivariant symplectic homology and multiple closed Reeb orbits
arXiv:1305.1245
Abstract
We study the existence of multiple closed Reeb orbits on some contact manifolds by means of -equivariant symplectic homology and the index iteration formula. It is proved that a certain class of contact manifolds which admit displaceable exact contact embeddings, a certain class of prequantization bundles, and Brieskorn spheres have multiple closed Reeb orbits.
24 pages, improved exposition, to appear in Int. J. Math
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