A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866914160825073664 |
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| author | Schüßler, Andreas Zambon, Marco |
| author_facet | Schüßler, Andreas Zambon, Marco |
| contents | Lie algebroids, singular foliations, and Dirac structures are closely related objects. We examine the relation between their pullbacks under maps satisfying a constant rank or transversality assumption. A special case is given by blowdown maps. In that case, we also establish the relation between the blowup of a Lie algebroid and its singular foliation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03698 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures Schüßler, Andreas Zambon, Marco Differential Geometry Symplectic Geometry Lie algebroids, singular foliations, and Dirac structures are closely related objects. We examine the relation between their pullbacks under maps satisfying a constant rank or transversality assumption. A special case is given by blowdown maps. In that case, we also establish the relation between the blowup of a Lie algebroid and its singular foliation. |
| title | A note on pullbacks and blowups of Lie algebroids, singular foliations, and Dirac structures |
| topic | Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2509.03698 |