A cochain complex is constructed for every VB-groupoid to govern deformations, with proofs of Morita invariance and a van Est theorem.
Crainic, Differentiable and algebroid cohomology, va n Est isomorphisms, and characteristic classes, Commentarii Mathematici Helvetici 78 (4) (2003)
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Deformations of Vector Bundles over Lie Groupoids
A cochain complex is constructed for every VB-groupoid to govern deformations, with proofs of Morita invariance and a van Est theorem.