On the integration of transitive Lie algebroids

  • Eckhard Meinrenken

    University of Toronto, Canada
On the integration of transitive Lie algebroids cover

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Abstract

We revisit the problem of integrating Lie algebroids to Lie groupoids , for the special case that the Lie algebroid 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.

Cite this article

Eckhard Meinrenken, On the integration of transitive Lie algebroids. Enseign. Math. 67 (2021), no. 3/4, pp. 423–454

DOI 10.4171/LEM/1015