Connections in Poisson Geometry I: Holonomy and Invariants

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dc.creatorFernandes, Rui Loja
dc.date2000-01-24
dc.date2000-02-04
dc.date.accessioned2026-07-07T04:33:24Z
dc.date.available2026-07-07T04:33:24Z
dc.descriptionWe discuss contravariant connections on Poisson manifolds. For vector bundles, the corresponding operational notion of a contravariant derivative had been introduced by Izu Vaisman. We show that these connections play an important role in the study of global properties of Poisson manifolds and we use them to define Poisson holonomy and new invariants of Poisson manifolds.
dc.description40 pages; Final version (replaces preliminary version, several corrections made)
dc.identifierhttps://arxiv.org/abs/math/0001129
dc.identifierhttp://arxiv.org/abs/math/0001129
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58563
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53D17;53C05;53C12
dc.titleConnections in Poisson Geometry I: Holonomy and Invariants
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