On the singularities of the Szegő kernels on CR orbifolds

DOI10.1016/J.GEOMPHYS.2024.105411MaRDI QIDQ6668525

Chin-Yu Hsiao, Andrea Galasso

Publication date: 22 January 2025

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

zbMATH Keywords

geometric quantizationSzegő kernelCR orbifolds

Mathematics Subject Classification ID

Several complex variables and analytic spaces (32-XX) Differential geometry (53-XX)

Cites Work

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• Toeplitz operators on symplectic manifolds
• Holomorphic Morse inequalities for orbifolds
• On the singularities of the Szegő projections on lower energy forms
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• \(G\)-invariant Szegő kernel asymptotics and CR reduction
• Toeplitz operators on CR manifolds and group actions
• Holomorphic Morse inequalities and Bergman kernels
• Asymptotics of spectral function of lower energy forms and Bergman kernel of semi-positive and big line bundles
• Projections in several complex variables
• Characteristic Classes. (AM-76)
• On the second coefficient of the asymptotic expansion of Boutet de Monvel-Sjőestrand
• On the Imbedding of V-Manifolds in Projective Space
• On the asymptotic expansion of Bergman kernel
• Geometric quantization on CR manifolds
• Functional calculus and quantization commutes with reduction for Toeplitz operators on CR manifolds

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