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