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Computations of Nambu-Poisson cohomologies

Philippe Monnier
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Abstract

We try to generalize the Poisson cohomology of a 2-dimensional Poisson manifold to the n-vectors on a n-dimensional manifold. We define several cohomologies and we compute locally some of them, in the case of germs at 0 of n-vectors on a real or complex vector field of dimension n.

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Philippe Monnier. 2001-03-01. Computations of Nambu-Poisson cohomologies. https://arxiv.org/abs/math/0007103

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