Twisted Poincaré duality for Poisson homology and cohomology of affine Poisson algebras

DOI10.1090/S0002-9939-2014-12411-7zbMath1392.17017MaRDI QIDQ5179379

Can Zhu

Publication date: 19 March 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

enveloping algebraPoincaré dualityPoisson (co)homologyHochschild (co)homologyaffine Poisson algebra

Mathematics Subject Classification ID

Related Items (4)

Homological unimodularity and Calabi-Yau condition for Poisson algebras ⋮ Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry ⋮ Frobenius Poisson algebras ⋮ Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras

Cites Work

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• Differential Forms On Regular Affine Algebras
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• Poisson enveloping algebras
• Duality for Lie-Rinehart algebras and the modular class
• A relation between Hochschild homology and cohomology for Gorenstein rings
• Transverse measures, the modular class and a cohomology pairing for Lie algebroids

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