Connections in Poisson Geometry I: Holonomy and Invariants

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We 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.
40 pages; Final version (replaces preliminary version, several corrections made)

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Differential Geometry, Symplectic Geometry, 53D17;53C05;53C12

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http://salesiana.dossiersoluciones.com/handle/123456789/58563

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0001129
 http://arxiv.org/abs/math/0001129

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arXiv