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arXiv:1004.2959 [math.DG]AbstractReferencesReviewsResources

On deformations of Lie algebroids

Yunhe Sheng

Published 2010-04-17, updated 2012-10-18Version 3

For any Lie algebroid A, its 1-jet bundle JA is a Lie algebroid naturally and there is a representation \pi: JA ->DA. Denote by dJ the corresponding coboundary operator. In this paper, we realize the deformation cohomology of a Lie algebroid A introduced by M. Crainic and I. Moerdijk as the cohomology of a subcomplex (\Gamma(Hom(^\bulletJA,A)DA), dJ) of the cochain complex (\Gamma(Hom(^\bulletJA,A)), dJ).

Comments: 17 pages, Results. Math. 62 (2012.09), 103-120
Journal: Results. Math. 62 (2012), 103-120
Categories: math.DG, math-ph, math.MP
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