On deformations of Lie algebroids
arXiv:1004.2959
Abstract
For any Lie algebroid A, its 1-jet bundle JA is a Lie algebroid naturally and there is a representation π: 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 (Γ(Hom(^\bulletJA,A)DA), dJ) of the cochain complex (Γ(Hom(^\bulletJA,A)), dJ).
17 pages, Results. Math. 62 (2012.09), 103-120