Reduction along strong Dirac maps
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918470279495680 |
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| author | Balibanu, Ana Mayrand, Maxence |
| author_facet | Balibanu, Ana Mayrand, Maxence |
| contents | We develop a general procedure for reduction along strong Dirac maps, which are a broad generalization of Poisson momentum maps. We recover a large number of familiar constructions in Poisson and quasi-Poisson geometry, and we introduce new examples of Poisson, quasi-Poisson, and Dirac reduced structures. In particular, we obtain quasi-Poisson analogues of several classes of spaces that are studied in geometric representation theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_07200 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Reduction along strong Dirac maps Balibanu, Ana Mayrand, Maxence Symplectic Geometry Differential Geometry Representation Theory We develop a general procedure for reduction along strong Dirac maps, which are a broad generalization of Poisson momentum maps. We recover a large number of familiar constructions in Poisson and quasi-Poisson geometry, and we introduce new examples of Poisson, quasi-Poisson, and Dirac reduced structures. In particular, we obtain quasi-Poisson analogues of several classes of spaces that are studied in geometric representation theory. |
| title | Reduction along strong Dirac maps |
| topic | Symplectic Geometry Differential Geometry Representation Theory |
| url | https://arxiv.org/abs/2210.07200 |