Deformations of Lie brackets: cohomological aspects

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We introduce a new cohomology for Lie algebroids, and prove that it provides a differential graded Lie algebra which ``controls'' deformations of the structure bracket of the algebroid. We also have a closer look at various special cases such as Lie algebras, Poisson manifolds, foliations, Lie algebra actions on manifolds.
17 pages, Revised version: small corrections, more references added

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Differential Geometry, Mathematical Physics, Algebraic Topology

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http://salesiana.dossiersoluciones.com/handle/123456789/70589

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0403434
 http://arxiv.org/abs/math/0403434

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arXiv