| Title:
|
Poisson bivectors on infinite dimensional manifolds (English) |
| Author:
|
Michor, Peter W. |
| Author:
|
Rahangdale, Praful |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
62 |
| Issue:
|
3 |
| Year:
|
2026 |
| Pages:
|
113-123 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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 $L_{\text{skew}}^2(T^*M,\mathbb{R})$. (English) |
| Keyword:
|
Poisson structure |
| Keyword:
|
Poisson bivector |
| Keyword:
|
infinite dimensional manifolds |
| MSC:
|
58B20 |
| MSC:
|
70G45 |
| MSC:
|
70G70 |
| DOI:
|
10.5817/AM2026-3-113 |
| . |
| Date available:
|
2026-08-25T08:27:14Z |
| Last updated:
|
2026-08-25 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/153722 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
