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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2020
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2008.07976 |
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| _version_ | 1866909862509674496 |
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| author | Androulidakis, Iakovos Zambon, Marco |
| author_facet | Androulidakis, Iakovos Zambon, Marco |
| contents | We establish an integration theory for singular subalgebroids, by diffeological groupoids. To do so, we single out a class of diffeological groupoids satisfying specific properties, and we introduce a differentiation-integration procedure under which they correspond to singular subalgebroids. Our definition of integration distinguishes the holonomy groupoid from the graph, although both differentiate to the original singular subalgebroid: the holonomy groupoid satisfies a certain submersive property, while the graph does not. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2008_07976 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Integration of singular subalgebroids by diffeological groupoids Androulidakis, Iakovos Zambon, Marco Differential Geometry We establish an integration theory for singular subalgebroids, by diffeological groupoids. To do so, we single out a class of diffeological groupoids satisfying specific properties, and we introduce a differentiation-integration procedure under which they correspond to singular subalgebroids. Our definition of integration distinguishes the holonomy groupoid from the graph, although both differentiate to the original singular subalgebroid: the holonomy groupoid satisfies a certain submersive property, while the graph does not. |
| title | Integration of singular subalgebroids by diffeological groupoids |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2008.07976 |