Algebraic Symplectic Reduction and Quantization of Singular Spaces

DOI10.15407/mag19.01.178arXiv1706.08102OpenAlexW2658255448MaRDI QIDQ6151695

Victor P. Palamodov

Publication date: 12 February 2024

Published in: Zurnal matematiceskoj fiziki, analiza, geometrii (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08102

zbMATH Keywords

deformation quantizationPoisson manifoldsK3 surfacessingular symplectic reductionGroenewold-Moyal star product

Mathematics Subject Classification ID

Momentum maps; symplectic reduction (53D20) Deformation quantization, star products (53D55)

Cites Work

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• Reduction and quantization for singular momentum mappings
• Singular angular momentum mappings
• Symmetry and bifurcations of momentum mappings
• Homological reduction of constrained Poisson algebras
• Quantization: Deformation and/or functor?
• Associative deformations of complex analytic spaces
• Geometric and algebraic reduction for singular momentum maps
• On the principles of elementary quantum mechanics
• Quantization of relativistic systems with constraints
• Deformation quantization of algebraic varieties.

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