Equivariant symplectic homology and multiple closed Reeb orbits (1305.1245v2)

Published 6 May 2013 in math.SG and math.DS

Abstract: We study the existence of multiple closed Reeb orbits on some contact manifolds by means of $S^{1$-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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Authors (1)

Jungsoo Kang

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