Zeroth Poisson homology, foliated cohomology and perfect Poisson manifolds

DOI10.1134/S1560354718010045zbMath1403.53070arXiv1709.01176MaRDI QIDQ1795602

Eva Miranda, David Martínez Torres

Publication date: 16 October 2018

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01176

zbMATH Keywords

Poisson homologyfoliated cohomologyperfect Poisson manifoldsregular Poisson manifolds

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 (1)

The geometry of \(E\)-manifolds

Cites Work

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• Symplectic and Poisson geometry on \( b\)-manifolds
• Codimension one symplectic foliations and regular Poisson structures
• The local structure of Poisson manifolds
• Floer-Novikov cohomology and the flux conjecture
• A differential complex for Poisson manifolds
• Les variétés de Poisson et leurs algèbres de Lie associees
• Lectures on the geometry of Poisson manifolds
• The modular automorphism group of a Poisson manifold
• The modular class of a regular Poisson manifold and the Reeb class of its symplectic foliation
• Geometric quantization of real polarizations via sheaves
• Examples of integrable and non-integrable systems on singular symplectic manifolds
• Poisson (co)homology and isolated singularities
• Sur la géométrie différentielle des groupes de Lie de dimension infinite et ses applications à l'hydrodynamique des fluides parfaits
• A SURVEY ON COSYMPLECTIC GEOMETRY
• Zeroth Poisson homology of symmetric powers of isolated quasihomogeneous surface singularities
• Foliations and groups of diffeomorphisms
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids
• Non-formal co-symplectic manifolds
• Poincaré and the Three-Body Problem
• SMALL DENOMINATORS AND PROBLEMS OF STABILITY OF MOTION IN CLASSICAL AND CELESTIAL MECHANICS
• Foliations and Pseudogroups

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