English

Computations of Nambu-Poisson cohomologies

Differential Geometry 2007-05-23 v2 Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.math/0007103,
  title  = {Computations of Nambu-Poisson cohomologies},
  author = {Philippe Monnier},
  journal= {arXiv preprint arXiv:math/0007103},
  year   = {2007}
}

Comments

14 pages

R2 v1 2026-07-22T16:33:47.397Z