On the integration of transitive Lie algebroids

Eckhard Meinrenken

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arXiv · 2007.07120

On the integration of transitive Lie algebroids

Eckhard Meinrenken

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Abstract

We revisit the problem of integrating Lie algebroids $A\Rightarrow M$ to Lie groupoids $G\rightrightarrows M$, for the special case that the Lie algebroid $A$ is transitive. We obtain a geometric explanation of the Crainic-Fernandes obstructions for this situation, and an explicit construction of the integration whenever these obstructions vanish. We also indicate an extension of this approach to regular Lie algebroids.

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Eckhard Meinrenken. 2020-07-14. On the integration of transitive Lie algebroids. https://arxiv.org/abs/2007.07120

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