On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization

DOI10.1007/BF02509458zbMath0869.53045OpenAlexW1965341625MaRDI QIDQ677690

Alexander V. Karabegov

Publication date: 15 April 1997

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02509458

zbMATH Keywords

Kähler manifolddeformation quantizationBerezin quantization

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geometric quantization (53D50)

Related Items (11)

Gauge theories on noncommutative ℂPN and Bogomol’nyi-Prasad-Sommerfield-like equations ⋮ Berezin quantization of gauged WZW and coset models ⋮ Gauge theories in noncommutative homogeneous Kähler manifolds ⋮ Deformation quantizations with separation of variables on a Kähler manifold ⋮ Deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ Fock representations and deformation quantization of Kähler manifolds ⋮ Explicit formula of deformation quantization with separation of variables for complex two-dimensional locally symmetric Kähler manifold ⋮ Noncommutative deformations of locally symmetric Kähler manifolds ⋮ Twisted Fock representations of noncommutative Kähler manifolds ⋮ Hermitian-Einstein metrics from noncommutative U(1) instantons ⋮ Explicit formulas for noncommutative deformations of ${\mathbb C}{P^N}$CPN and ${\mathbb C}{H^N}$CHN

Cites Work

• Existence of star-products and of formal deformations of the Poisson Lie algebra of arbitrary symplectic manifolds
• Weyl manifolds and deformation quantization
• Quantization of Kähler manifolds. III
• Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
• Quantization of Kahler Manifolds. II

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