Poisson cohomology in dimension two
Differential Geometry
2007-05-23 v2 Symplectic Geometry
Abstract
It is known that the computation of the Poisson cohomology is closely related to the classification of singularities of Poisson structures. In this paper, we will first look for the normal forms of germs at (0,0) of Poisson structures on the real (or complex) plane and recall a result given by Arnold. Then, we will compute locally the Poisson cohomology of a particular type of Poisson structure.
Keywords
Cite
@article{arxiv.math/0005261,
title = {Poisson cohomology in dimension two},
author = {Philippe Monnier},
journal= {arXiv preprint arXiv:math/0005261},
year = {2007}
}
Comments
15 pages