Twisted Poincaré duality for some quadratic Poisson algebras

DOI10.1007/s11005-006-0133-zzbMath1139.17008arXivmath/0609390OpenAlexW3103477667MaRDI QIDQ2370073

Lionel Richard, Stephane Launois

Publication date: 21 June 2007

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

Full work available at URL: https://arxiv.org/abs/math/0609390

zbMATH Keywords

Poincaré dualityPoisson (co)homologyHochschild (co)homology

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Homological methods in Lie (super)algebras (17B55) Poisson algebras (17B63)

Related Items (13)

On (co)homology of Frobenius Poisson algebras ⋮ Homological unimodularity and Calabi-Yau condition for Poisson algebras ⋮ Untwisting a twisted Calabi-Yau algebra. ⋮ Poisson and Hochschild cohomology and the semiclassical limit ⋮ Batalin-Vilkovisky algebra structure on Poisson manifolds with diagonalizable modular symmetry ⋮ A note on the duality between Poisson homology and cohomology ⋮ Twisted Poincaré duality between Poisson homology and Poisson cohomology ⋮ Duality and products in algebraic (co)homology theories. ⋮ Twisted Poincaré duality for Poisson homology and cohomology of affine Poisson algebras ⋮ Poisson (co)homology of truncated polynomial algebras in two variables ⋮ Frobenius Poisson algebras ⋮ Poisson cohomology, Koszul duality, and Batalin-Vilkovisky algebras ⋮ Homogeneous triples for homogeneous algebras with two relations

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