Lie groups of Poisson diffeomorphisms
| Autor: | Smilde, Wilmer |
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| Rok vydání: | 2021 |
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| Druh dokumentu: | Working Paper |
| Popis: | By considering suitable Poisson groupoids, we develop an approach to obtain Lie group structures on (subgroups of) the Poisson diffeomorphism groups of various classes of Poisson manifolds. As applications, we show that the Poisson diffeomorphism groups of (normal-crossing) log-symplectic, elliptic symplectic, scattering-symplectic and cosymplectic manifolds are regular infinite-dimensional Lie groups. Comment: 35 pages. Accepted for publication in Journal of Symplectic Geometry |
| Databáze: | arXiv |
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