Lagrangian fields, Calabi functions, and local symplectic groupoids

DOI10.1016/j.difgeo.2022.101933OpenAlexW3175024394WikidataQ113877062 ScholiaQ113877062MaRDI QIDQ2099426

Alexander V. Karabegov

Publication date: 23 November 2022

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.10264

zbMATH Keywords

quantizationCalabi functionsLagrangian fieldslocal symplectic groupoids

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Lagrangian submanifolds; Maslov index (53D12) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Cites Work

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• Quantization of compact symplectic manifolds
• Quantum and classical pseudogroups. II: Differential and symplectic pseudogroups
• A groupoid approach to quantization
• Quantization on a one-sheeted hyperboloid
• Quantization on the imaginary Lobachevskii plane
• On the dequantization of Fedosov's deformation quantization
• Formal symplectic groupoid
• Generating functions for local symplectic groupoids and non-perturbative semiclassical quantization
• The geometry of a bi-Lagrangian manifold
• Formal symplectic groupoid of a deformation quantization
• Isometric imbedding of complex manifolds
• Identification of Berezin-Toeplitz deformation quantization
• ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
• Symplectic groupoids and Poisson manifolds

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