A COHOMOLOGICAL CONSTRUCTION OF MODULES OVER FEDOSOV DEFORMATION QUANTIZATION ALGEBRA

DOI10.1142/S021988780800293XzbMath1141.53324arXiv0708.2626OpenAlexW3098624236MaRDI QIDQ3519812

Simeon Pol'shin

Publication date: 19 August 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0708.2626

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Deformation quantization, star products (53D55) Foliations (differential geometric aspects) (53C12) Geometric quantization (53D50)

Cites Work

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• Fedosov *-products and quantum momentum maps
• Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications
• On the quantization of Poisson brackets
• A Fedosov star product of the Wick type for Kähler manifolds
• A ring-theorist's description of Fedosov quantization
• Deformation quantizations with separation of variables on a Kähler manifold
• The canonical connection of a bi-Lagrangian manifold
• Fedosov quantization on symplectic ringed spaces
• Wick type deformation quantization of Fedosov manifolds
• Almost-Kähler deformation quantization.

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