Equivariant symplectic homology and multiple closed Reeb orbits
Symplectic Geometry
2014-10-16 v2 Dynamical Systems
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.
Cite
@article{arxiv.1305.1245,
title = {Equivariant symplectic homology and multiple closed Reeb orbits},
author = {Jungsoo Kang},
journal= {arXiv preprint arXiv:1305.1245},
year = {2014}
}
Comments
24 pages, improved exposition, to appear in Int. J. Math