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Integrability of
quotients in Poisson and Dirac geometry
Daniel Álvarez |
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Vol. 311 (2021), No. 1, 1–32
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DOI: 10.2140/pjm.2021.311.1
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Abstract |
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We study the integrability of Poisson and Dirac structures that arise from quotient constructions. As our main general result, we characterize the integrability of Poisson structures which are obtained as quotients of Dirac structures. We illustrate our constructions by deducing several classical results as well as new applications such as an explicit description of Lie groupoids integrating two interesting families of geometric structures:
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Keywords
Lie groupoids and Lie algebroids, Poisson geometry, Courant
algebroids, symplectic groupoids
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Mathematical Subject Classification
Primary: 53D17
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Milestones
Received: 21 October 2019
Revised: 15 September 2020
Accepted: 11 January 2021
Published: 17 March 2021
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Authors |
| Daniel Álvarez | |
| Departamento de Matemáticas,
Facultad de Ciencias Universidad Nacional Autónoma de México Mexico City Mexico |
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