Deformations of Lie brackets: cohomological aspects
Differential Geometry
2007-05-23 v2 Mathematical Physics
Algebraic Topology
math.MP
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.
Cite
@article{arxiv.math/0403434,
title = {Deformations of Lie brackets: cohomological aspects},
author = {M. Crainic and I. Moerdijk},
journal= {arXiv preprint arXiv:math/0403434},
year = {2007}
}
Comments
17 pages, Revised version: small corrections, more references added