Remarks on the Lichnerowicz-Poisson cohomology

DOI10.5802/aif.1243zbMath0708.58010OpenAlexW2321816247MaRDI QIDQ920451

Izu Vaisman

Publication date: 1990

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

Full work available at URL: http://www.numdam.org/item?id=AIF_1990__40_4_951_0

zbMATH Keywords

Poisson manifoldLichnerowicz-Poisson cohomologySerre-Hochschild spectral sequence

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items

On the splitting of infinitesimal Poisson automorphisms around symplectic leaves ⋮ Poisson cohomology of plane quadratic Poisson structures ⋮ Integrability of infinitesimal automorphisms of linear Poisson manifolds ⋮ Equivariant cohomology and localization for Lie algebroids ⋮ The Schouten-Nijenhuis bracket and interior products ⋮ The spectral sequence of the canonical foliation of a Vaisman manifold ⋮ Poisson cohomology of regular Poisson manifolds ⋮ Lifts of Poisson structures to Weil bundle ⋮ On the simplectization of bi-Hamiltonian structures ⋮ On the computation of the Lichnerowicz--Jacobi cohomology.

Cites Work

• Poisson manifolds and the Schouten bracket
• Les variétés de Poisson et leurs algèbres de Lie associees
• Poisson cohomology and quantization.
• On the geometric quantization of Poisson manifolds
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