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Deformations of Lie brackets: cohomological aspects

M. Crainic·I. Moerdijk
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Abstract

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.

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BibTeXRIS

M. Crainic, I. Moerdijk. 2005-06-09. Deformations of Lie brackets: cohomological aspects. https://arxiv.org/abs/math/0403434

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