Quantization commutes with reduction, a survey

DOI10.1007/s10473-021-0604-4OpenAlexW3212863702MaRDI QIDQ2154579

Xiaonan Ma

Publication date: 20 July 2022

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10473-021-0604-4

zbMATH Keywords

Dirac operatorindex theorygeometric quantization

Mathematics Subject Classification ID

Index theory and related fixed-point theorems on manifolds (58J20) Geometric quantization (53D50) CR functions (32V10)

Related Items (1)

Remarks on star products for non-compact CR manifolds with non-degenerate Levi form

Cites Work

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• Formal geometric quantization. II
• Geometric quantization for proper moment maps
• An analytic proof of the geometric quantization conjecture of Guillemin-Sternberg
• Geometric quantization and multiplicities of group representations
• Complex immersions and Quillen metrics
• Elliptic operators and compact groups
• Symplectic surgery and the Spin\(^c\)-Dirac operator
• Singular reduction and quantization
• Quantization formula for symplectic manifolds with boundary
• Equivariant Dirac operators and differentiable geometric invariant theory
• Multiplicities formula for geometric quantization. I
• Geometric quantization for proper moment maps: the Vergne conjecture
• Holomorphic Morse inequalities and Bergman kernels
• Geometric quantization and families of inner products
• Equivariant indices of \(\operatorname{Spin}^c\)-Dirac operators for proper moment maps
• Geometric quantization for proper actions
• Spinc-quantization and the K-multiplicities of the discrete series
• HOLOMORPHIC QUANTIZATION FORMULA IN SINGULAR REDUCTION
• On Riemann-Roch Formulas for Multiplicities
• Quantization and unitary representations
• Localization of the Riemann-Roch character

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