An invariant formula for a star product with separation of variables

DOI10.1016/J.GEOMPHYS.2012.06.009zbMath1250.53080arXiv1107.5832OpenAlexW2080380973MaRDI QIDQ451027

Alexander V. Karabegov

Publication date: 26 September 2012

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

Full work available at URL: https://arxiv.org/abs/1107.5832

zbMATH Keywords

covariant tensorsdeformation quantization with separation of variablesKähler connection

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Deformation quantization, star products (53D55) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (8)

Gauge theories on noncommutative ℂPN and Bogomol’nyi-Prasad-Sommerfield-like equations ⋮ Trees and tensors on Kähler manifolds ⋮ On a graph theoretic formula of Gammelgaard for Berezin-Toeplitz quantization ⋮ Fock representations and deformation quantization of Kähler manifolds ⋮ Noncommutative deformations of locally symmetric Kähler manifolds ⋮ Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds ⋮ An explicit formula for the Berezin star product ⋮ Twisted Fock representations of noncommutative Kähler manifolds

Cites Work

• An explicit formula for the Berezin star product
• Deformation theory and quantization. I: Deformations of symplectic structures
• A Fedosov star product of the Wick type for Kähler manifolds
• Deformation quantization of Poisson manifolds
• Deformation quantizations with separation of variables on a Kähler manifold
• A universal formula for deformation quantization on Kähler manifolds

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