Deformation Cohomology of Lie Algebroids and Morita Equivalence

Abstract

Let $A\Rightarrow M$ be a Lie algebroid. In this short note, we prove that a pull-back of $A$ along a fibration with homologically $k$-connected fibers, shares the same deformation cohomology of $A$ up to degree $k$.

Short note (9 pages), v3: reference added, final version; v2: minor revisions + one illustrative example added; accepted for publication in C. R. Math., comments still welcome!

References in corpus (1)

• Morita equivalences of vector bundles

Cited by in corpus (1)

• Deformations of Linear Lie Brackets