Poisson cohomology of regular Poisson manifolds

DOI10.5802/aif.1317zbMath0759.58020OpenAlexW2020882827MaRDI QIDQ1203396

Ping Xu

Publication date: 8 February 1993

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1992__42_4_967_0

zbMATH Keywords

de Rham cohomologyPoisson cohomologysymplectic groupoids

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

Poisson cohomology of the affine plane ⋮ On the splitting of infinitesimal Poisson automorphisms around symplectic leaves ⋮ On a general approach to the formal cohomology of quadratic Poisson structures ⋮ Poisson cohomology of plane quadratic Poisson structures ⋮ Integrability of infinitesimal automorphisms of linear Poisson manifolds ⋮ The Schouten-Nijenhuis bracket and interior products ⋮ Poisson geometry ⋮ Poisson cohomology of 3D Lie algebras ⋮ Homology of algebras of families of pseudodifferential operators. ⋮ Poisson cohomology of plane Poisson structures with isolated singularities revisited ⋮ EQUIVARIANT POISSON COHOMOLOGY AND A SPECTRAL SEQUENCE ASSOCIATED WITH A MOMENT MAP ⋮ Formal Poisson cohomology of twisted \(r\)-matrix induced structures ⋮ Lifts of Poisson structures to Weil bundle ⋮ Extensions of Lie brackets ⋮ Poisson (co)homology and isolated singularities ⋮ On the integrability of deformation quantized Toda lattice ⋮ On the Hochschild homology of elliptic Sklyanin algebras. ⋮ On the simplectization of bi-Hamiltonian structures ⋮ Poisson cohomology in dimension two ⋮ On the computation of the Lichnerowicz--Jacobi cohomology.

Cites Work

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• Symplectic groupoids and Poisson manifolds