Local cohomology of the algebra of \(C^\infty\) functions on a connected manifold

DOI10.1007/BF00316669zbMath0453.58026MaRDI QIDQ1149157

Simone Gutt, Marc De Wilde, Michel Cahen

Publication date: 1980

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

deformation of classical mechanicsdeformations of the Poisson bracket of functions on phase spacedifferentiable Chevalley cohomologydifferentiable operatorlocal and differentiable Hochschild cohomologylocal Chevalley cohomologymultilinear local operator acting on the space of functions on a manifold

Mathematics Subject Classification ID

Deformations of general structures on manifolds (58H15) Cohomology of classifying spaces for pseudogroup structures (Spencer, Gelfand-Fuks, etc.) (58H10) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99) Partial differential equations on manifolds; differential operators (58J99) Geometric quantization (53D50)

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Cites Work

• Déformation du crochet de Poisson sur une variété symplectique
• Deformation theory and quantization. I: Deformations of symplectic structures
• Cohomology of Lie algebras over a manifold. I
• Unnamed Item