Poisson cohomology (Q59539876)
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cohomology associated to the cochain complex of totally antisymmetric multivector fields on a Poisson manifold, with differential given by the Schouten–Nijenhuis bracket with the Poisson bivector
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Poisson cohomology |
cohomology associated to the cochain complex of totally antisymmetric multivector fields on a Poisson manifold, with differential given by the Schouten–Nijenhuis bracket with the Poisson bivector |
Statements
![{\displaystyle \operatorname {H} _{\pi }^{n}(X)={\frac {\{\alpha \in \Gamma (\bigwedge ^{n}\mathrm {T} X)\colon [\pi ,\alpha ]=0\}}{[\pi ,\Gamma (\bigwedge ^{n-1}\mathrm {T} X)]}}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a8e4df92ab573250236cb708c42130f298fb126f)
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