Quantization of Kähler manifolds and the asymptotic expansion of Tian-Yau-Zelditch

DOI10.1016/S0393-0440(02)00175-4zbMath1027.53081OpenAlexW2154868643MaRDI QIDQ1399291

Andrea Loi, Claudio Arezzo

Publication date: 30 July 2003

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

Full work available at URL: https://doi.org/10.1016/s0393-0440(02)00175-4

zbMATH Keywords

asymptotic expansionKähler manifoldsgeometric quantization

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geometric quantization (53D50) Perturbations of PDEs on manifolds; asymptotics (58J37)

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Cites Work

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• *-products on \(D^ 1(C)\), \(S^ 2\) and related spectral analysis
• On a set of polarized Kähler metrics on algebraic manifolds
• On Kaehler metrics on a compact homogeneous complex manifold
• Deformation theory and quantization. I: Deformations of symplectic structures
• Canonical coordinates and Bergmann metrics
• Quantization of Kähler manifolds. III
• The function epsilon for complex tori and Riemann surfaces
• *-products on some Kähler manifolds
• Quantization of Kähler manifolds. IV
• Hypersurfaces of complex projective space with constant scalar curvature
• Quantization of Kähler manifolds. I: Geometric interpretation of Berezin's quantization
• Isometric imbedding of complex manifolds
• QUANTIZATION
• Berezin’s quantization on flag manifolds and spherical modules
• Quantization of Kahler Manifolds. II
• On the lower order terms of the asymptotic expansion of Tian-Yau-Zelditch

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