English

Cohomology groups of homogeneous Poisson structures

Symplectic Geometry 2017-05-30 v4

Abstract

We generalize the notion of weight for Gelfan'd-Fuks cohomology theory of symplectic vector spaces to the homogeneous Poisson vector spaces, and try some combinatorial approach to Poisson cohomology groups.

Keywords

Cite

@article{arxiv.1511.00199,
  title  = {Cohomology groups of homogeneous Poisson structures},
  author = {Kentaro Mikami and Tadayoshi Mizutani},
  journal= {arXiv preprint arXiv:1511.00199},
  year   = {2017}
}

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82 pages