On the integration of transitive Lie algebroids
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arXiv
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| Format: | Preprint |
| Published: |
2020
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| _version_ | 1866916496847929344 |
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| author | Meinrenken, Eckhard |
| author_facet | Meinrenken, Eckhard |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2007_07120 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the integration of transitive Lie algebroids Meinrenken, Eckhard Differential Geometry 58H05, 53D17 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. |
| title | On the integration of transitive Lie algebroids |
| topic | Differential Geometry 58H05, 53D17 |
| url | https://arxiv.org/abs/2007.07120 |