Kähler-Poisson algebras

DOI10.1016/j.geomphys.2018.11.001zbMath1430.17067arXiv1712.08397OpenAlexW2781323360MaRDI QIDQ669590

Joakim Arnlind, Ahmed Al-Shujary

Publication date: 15 March 2019

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.08397

zbMATH Keywords

Kähler manifoldcurvatureLevi-Civita connectionLie-Rinehart algebra

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items (2)

On moduli spaces of K\"ahler-Poisson algebra over rational functions in two variables ⋮ Noncommutative minimal embeddings and morphisms of pseudo-Riemannian calculi

Cites Work

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• Skew-symmetric matrix polynomials and their Smith forms
• Multi-linear formulation of differential geometry and matrix regularizations
• Riemannian geometry of Lie algebroids
• Pseudo-Riemannian geometry in terms of multi-linear brackets
• The local structure of Poisson manifolds
• The imbedding problem for Riemannian manifolds
• A differential complex for Poisson manifolds
• Les variétés de Poisson et leurs algèbres de Lie associees
• Lie algebroids, holonomy and characteristic classes
• A covariant Poisson deformation quantization with separation of variables up to the third order
• Deformation quantization of Poisson manifolds
• Poisson cohomology and quantization.
• Curvature and gravity actions for matrix models
• Extensions of Lie-Rinehart algebras and the Chern-Weil construction
• Differential Forms on General Commutative Algebras

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