Propagation in Hamiltonian dynamics and relative symplectic homology

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dc.creatorBiran, Paul
dc.creatorPolterovich, Leonid
dc.creatorSalamon, Dietmar
dc.date2001-08-20
dc.date.accessioned2026-07-07T04:43:03Z
dc.date.available2026-07-07T04:43:03Z
dc.descriptionThe main result asserts the existence of noncontractible periodic orbits for compactly supported time dependent Hamiltonian systems on the unit cotangent bundle of the torus or of a negatively curved manifold whenever the generating Hamiltonian is sufficiently large over the zero section. The proof is based on Floer homology and on the notion of a relative symplectic capacity. Applications include results about propagation properties of sequential Hamiltonian systems, periodic orbits on hypersurfaces, Hamiltonian circle actions, and smooth Lagrangian skeletons in Stein manifolds.
dc.description58 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/math/0108134
dc.identifierhttp://arxiv.org/abs/math/0108134
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62047
dc.subjectSymplectic Geometry
dc.subject37J45, 53D40
dc.titlePropagation in Hamiltonian dynamics and relative symplectic homology
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