Poisson (co)homology and isolated singularities

By A. Pichereau. 2005

71 citations recorded by the source corpus.

To each polynomial φ∈F[x,y,z] is associated a Poisson structure on F3, a surface and a Poisson structure on this surface. When φ is weight homogeneous with an isolated singularity, we determine the Poisson cohomology and homology of the two Poisson varieties obtained.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/65b23cd015d7b513bb9df52ae6fe4b05a78cd447

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Elisabeth Remm
2. Michel Goze
3. Abdenacer Makhlouf
4. Martin Markl
5. F. Ammar

In Mathematical Physics

1. Elisabeth Remm
2. Michel Goze
3. Abdenacer Makhlouf
4. Martin Markl
5. F. Ammar
6. Pei-Ming Ho
7. Yutaka Matsuo

Citations in the corpus

• Poisson algebras in terms of non-associative algebras (2008, background): “Lichnerowicz introduced a cohomology for Poisson algebras (see also [14]).”