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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2404.10607 |
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| _version_ | 1866914757074747392 |
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| author | Beltita, Daniel Pelletier, Fernand |
| author_facet | Beltita, Daniel Pelletier, Fernand |
| contents | We introduce the notion of \textbf{Q}-principal bundle, which is the appropriate version of principal fibre bundles in the setting of R. Barre's \textbf{Q}-manifolds. As an application, we prove that every transitive Lie algebroid arises from the Atiyah sequence of a certain \textbf{Q}-principal bundle, and we give the interpretation of this result in terms of groupoids. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10607 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Transitive Lie algebroids and \textbf{Q}-manifolds Beltita, Daniel Pelletier, Fernand Differential Geometry Primary 58H05, Secondary 22A22, 22E15 We introduce the notion of \textbf{Q}-principal bundle, which is the appropriate version of principal fibre bundles in the setting of R. Barre's \textbf{Q}-manifolds. As an application, we prove that every transitive Lie algebroid arises from the Atiyah sequence of a certain \textbf{Q}-principal bundle, and we give the interpretation of this result in terms of groupoids. |
| title | Transitive Lie algebroids and \textbf{Q}-manifolds |
| topic | Differential Geometry Primary 58H05, Secondary 22A22, 22E15 |
| url | https://arxiv.org/abs/2404.10607 |