Computations of Nambu-Poisson cohomologies

Mathematics – Differential Geometry

Scientific paper

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14 pages

Scientific paper

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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