Equivariant symplectic homology and multiple closed Reeb orbits

preprint2013arXivOpen access

Abstract

We study the existence of multiple closed Reeb orbits on some contact manifolds by means of S1S^1-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.

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