Infinitesimal deformations of a formal symplectic groupoid

DOI10.1007/s11005-011-0495-8zbMath1236.53071arXiv1008.2463OpenAlexW2059147303MaRDI QIDQ657634

Alexander V. Karabegov

Publication date: 10 January 2012

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

Full work available at URL: https://arxiv.org/abs/1008.2463

zbMATH Keywords

deformation quantizationPoisson manifoldstar productformal symplectic groupoid

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55) Local differential geometry of Hermitian and Kählerian structures (53B35) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Cites Work

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• Poisson geometry and deformation quantization near a strictly pseudoconvex boundary
• Formal symplectic groupoid of a deformation quantization
• ANALOGUES OF THE OBJECTS OF LIE GROUP THEORY FOR NONLINEAR POISSON BRACKETS
• Symplectic groupoids and Poisson manifolds

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