Deformations of Lie brackets: cohomological aspects

Details Deformations of Lie brackets: cohomological aspects Deformations of Lie brackets: cohomological aspects

2004-03-25

arxiv.org/abs/math/0403434v2

Mathematics

Differential Geometry

17 pages, Revised version: small corrections, more references added

Scientific paper

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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