On the deformation quantization, on a Kähler manifold, associated with a Berzin quantization
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Publication:677690
DOI10.1007/BF02509458zbMath0869.53045OpenAlexW1965341625MaRDI QIDQ677690
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
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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