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.
Cite this article
Marius Crainic, Ieke Moerdijk, Deformations of Lie brackets: cohomological aspects. J. Eur. Math. Soc. 10 (2008), no. 4, pp. 1037–1059DOI 10.4171/JEMS/139