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In differential geometry, a field in mathematics, a Poisson manifold is a smooth manifold endowed with a Poisson structure. The notion of Poisson manifold generalises that of symplectic manifold, which in turn generalises the phase space from Hamiltonian mechanics.
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| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Poisson manifold | is a | smooth manifold endowed with a Poisson structure | 0.90 | text |
| Poisson manifold | is a | complex manifold M | 0.90 | text |
| Poisson manifold | is a | class in the first Poisson cohomology group | 0.90 | text |
| Poisson manifold | is a | highly non trivial problem | 0.90 | text |
| Poisson manifold | related to Deformation quantisation | The | 0.60 | section |
| Poisson manifold | related to Deformation quantisation | Poisson | 0.60 | section |
| Poisson manifold | related to Deformation quantisation | This | 0.60 | section |
| Poisson manifold | related to Examples | Given | 0.60 | section |
| Poisson manifold | related to Examples | Poisson | 0.60 | section |
| Poisson manifold | related to Examples | Lie | 0.60 | section |
| Poisson manifold | related to Examples | One | 0.60 | section |
| Poisson manifold | related to Examples | For | 0.60 | section |
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