Traces for star products on symplectic manifolds

DOI10.1016/S0393-0440(01)00053-5zbMath1075.53097arXivmath/0105089MaRDI QIDQ1602452

Simone Gutt, John H. Rawnsley

Publication date: 23 June 2002

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

Full work available at URL: https://arxiv.org/abs/math/0105089

zbMATH Keywords

symplectic manifoldsdeformation quantizationstar productstraces.

Mathematics Subject Classification ID

Deformation quantization, star products (53D55)

Related Items (10)

An algebra of distributions related to a star product with separation of variables ⋮ Traces for Star Products on the Dual of a Lie Algebra ⋮ Quantum moment map and obstructions to the existence of closed Fedosov star products ⋮ STATES AND REPRESENTATIONS IN DEFORMATION QUANTIZATION ⋮ Gauge theory of the star product ⋮ Involutions and representations for reduced quantum algebras ⋮ \(\kappa\)-Minkowski-deformation of U(1) gauge theory ⋮ Formal series of generalized functions and their application to deformation quantization ⋮ Representation theory of (modified) reflection equation algebra of $GL(m|n)$ type ⋮ Infinite dimensional moment map geometry and closed Fedosov's star products

Cites Work

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• A remark on formal KMS states in deformation quantization
• Closed star products and cyclic cohomology
• On the canonical normalization of a trace density of deformation quantization
• A deformation-theoretical approach to Weyl quantization on Riemannian manifolds
• Homogeneous Fedosov star products on cotangent bundles. II: GNS representations, the WKB expansion, traces, and applications
• Equivalence of star products on a symplectic manifold; an introduction to Deligne's Čech cohomology classes
• Deformation quantization with traces
• Existence of a closed star product
• Star products on compact pre-quantizable symplectic manifolds
• Algebraic index theorem

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