Noncommutative geometry of Poisson structures

DOI10.1007/s10958-007-0038-0zbMath1146.53056OpenAlexW2036012349MaRDI QIDQ941939

Z. Giunashvili

Publication date: 3 September 2008

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-007-0038-0

zbMATH Keywords

reductionsymplectic foliationBott connectiondegenerate Poisson structure

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63) Cohomology of Lie (super)algebras (17B56) Noncommutative geometry (à la Connes) (58B34)

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Cites Work

• Les variétés de Poisson et leurs algèbres de Lie associees
• \(SU(n)\)-connections and noncommutative differential geometry
• On the noncommutative geometry of the endomorphism algebra of a vector bundle
• Submanifolds and quotient manifolds in noncommutative geometry
• Cohomology and deformations in graded Lie algebras
• Holonomy of Poisson manifolds and the modular class
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