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arXiv · 1305.1245

Equivariant symplectic homology and multiple closed Reeb orbits

Jungsoo Kang
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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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Jungsoo Kang. 2013-05-06. Equivariant symplectic homology and multiple closed Reeb orbits. https://arxiv.org/abs/1305.1245

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