The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation

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

zbMATH Keywords

Morita equivalencesymplectic foliationPoisson cohomologyleafwise cohomology

Mathematics Subject Classification ID

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

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• 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

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