MOMENTUM MAPPINGS AND POISSON COHOMOLOGY

DOI10.1142/S0129167X96000207zbMath0867.58028MaRDI QIDQ4716916

Viktor L. Ginzburg

Publication date: 14 August 1997

Published in: International Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Poisson manifoldsPoisson cohomologymomentum mapping

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Cohomology of Lie (super)algebras (17B56) Geometric quantization (53D50) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lie algebras and Lie superalgebras (17B99)

Related Items (15)

Poisson Cohomology of SU(2)-Covariant "Necklace" Poisson Structures on S2 ⋮ Uniqueness of the momentum map ⋮ Rigidity of infinitesimal momentum maps ⋮ Poisson cohomology of plane quadratic Poisson structures ⋮ Normal forms of vector fields on Poisson manifolds ⋮ Coupling symmetries with Poisson structures ⋮ Reduction of pre-Hamiltonian actions ⋮ Poisson cohomology of 3D Lie algebras ⋮ The quantization of the symplectic groupoid of the standard Podlès sphere ⋮ The method of averaging for Poisson connections on foliations and its applications ⋮ Rigidity of Hamiltonian actions on Poisson manifolds ⋮ EQUIVARIANT POISSON COHOMOLOGY AND A SPECTRAL SEQUENCE ASSOCIATED WITH A MOMENT MAP ⋮ The geometry of \(E\)-manifolds ⋮ Perturbed Hamiltonian dynamics from deformation of Poisson brackets ⋮ Poisson structures of near-symplectic manifolds and their cohomology

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