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arXiv · 1801.10052

Deformation Cohomology of Lie Algebroids and Morita Equivalence

Giovanni Sparano·Luca Vitagliano
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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 $k$.

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Giovanni Sparano, Luca Vitagliano. 2018-01-30. Deformation Cohomology of Lie Algebroids and Morita Equivalence. https://doi.org/10.1016/j.crma.2018.03.004

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