Poisson bivectors on infinite dimensional manifolds
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908701772742656 |
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| author | Michor, Peter W. Rahangdale, Praful |
| author_facet | Michor, Peter W. Rahangdale, Praful |
| contents | We show that, on a smoothly paracompact convenient manifold $M$ modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\mathbb R)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_08590 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Poisson bivectors on infinite dimensional manifolds Michor, Peter W. Rahangdale, Praful Differential Geometry 58B20, 70G70, 70G45 We show that, on a smoothly paracompact convenient manifold $M$ modeled on a convenient space with the bornological approximation property, the dual map of a Poisson bracket factors as a smooth section of the vector bundle $L_{skew}^2(T^*M,\mathbb R)$. |
| title | Poisson bivectors on infinite dimensional manifolds |
| topic | Differential Geometry 58B20, 70G70, 70G45 |
| url | https://arxiv.org/abs/2512.08590 |