The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation
From MaRDI portal
Publication:1408230
DOI10.1016/S1631-073X(03)00254-1zbMath1030.53079arXivmath/0211405MaRDI QIDQ1408230
Mohamed Boucetta, Abdelhak Abouqateb
Publication date: 15 September 2003
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0211405
Poisson manifolds; Poisson groupoids and algebroids (53D17) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)
Related Items
Existence of Lie algebroids on the tangent bundle with a given anchor map of constant rank ⋮ On computational Poisson geometry. II. Numerical methods ⋮ Unimodularity criteria for Poisson structures on foliated manifolds ⋮ Characteristic classes of Q-manifolds: classification and applications ⋮ Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds ⋮ On computational Poisson geometry. I: Symbolic foundations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The local structure of Poisson manifolds
- The Godbillon measure of amenable foliations
- Foliations on Riemannian manifolds
- Lectures on the geometry of Poisson manifolds
- The modular automorphism group of a Poisson manifold
- A Metric Formula for the Godbillon-Vey Invariant for Foliations
- Holonomy of Poisson manifolds and the modular class
This page was built for publication: The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation