Stability of higher order singular points of Poisson manifolds and Lie algebroids

DOI10.5802/aif.2193zbMath1133.53054arXivmath/0501168OpenAlexW1574296185MaRDI QIDQ2372757

Jean-Paul Dufour, Aïssa Wade

Publication date: 1 August 2007

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0501168

zbMATH Keywords

Lie algebroidsPoisson manifoldsstability of singular points

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Poisson manifolds; Poisson groupoids and algebroids (53D17) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (5)

Deformations of symplectic foliations ⋮ Stability of fixed points of Dirac structures ⋮ Decomposability of a Poisson tensor could be a stable phenomenon ⋮ Holonomy transformations for singular foliations ⋮ Stability of symplectic leaves

Cites Work

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• Deformations of Lie brackets: Cohomological aspects
• Normal forms of Poisson structures with zero 1-jet at a point
• A cohomology attached to a function
• Deformation by quantization and rigidity of enveloping algebras.
• The topology on integrable differential forms near a singularity
• Lie algebroids, holonomy and characteristic classes
• A classification of topologically stable Poisson structures on a compact oriented surface
• Poisson structures and their normal forms
• Cohomology of Lie algebras
• Dirac Manifolds

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