Partially ordered groups and geometry of contact transformations

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dc.creatorEliashberg, Yakov
dc.creatorPolterovich, Leonid
dc.date1999-10-13
dc.date.accessioned2026-07-07T05:31:08Z
dc.date.available2026-07-07T05:31:08Z
dc.descriptionWe prove, for a class of contact manifolds, that the universal cover of the group of contact diffeomorphisms carries a natural partial order. It leads to a new viewpoint on geometry and dynamics of contactomorphisms. It gives rise to invariants of contactomorphisms which generalize the classical notion of the rotation number. Our approach is based on tools of Symplectic Topology.
dc.descriptionLatex, 35 pages, preliminary version
dc.identifierhttps://arxiv.org/abs/math/9910065
dc.identifierhttp://arxiv.org/abs/math/9910065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79235
dc.subjectSymplectic Geometry
dc.subjectDifferential Geometry
dc.subjectDynamical Systems
dc.subjectGroup Theory
dc.subject58Dxx (Primary) 58F05, 53C15, 06Fxx (Secondary)
dc.titlePartially ordered groups and geometry of contact transformations
dc.typetext

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