Berezin-Toeplitz quantization on symplectic manifolds of bounded geometry

DOI10.1134/S0001434622090267zbMath1504.53098arXiv2105.11185OpenAlexW3165845182MaRDI QIDQ2090560

Yurii A. Kordyukov

Publication date: 25 October 2022

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.11185

zbMATH Keywords

symplectic manifoldBerezin-Toeplitz quantizationBochner Laplacianmanifold of bounded geometry

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Cites Work

• Uniformly continuous functions and quantization on the Fock space
• Quantization of compact symplectic manifolds
• General concept of quantization
• Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results
• Almost complex structures and geometric quantization
• Toeplitz operators on symplectic manifolds
• \(L^ p\)-theory of elliptic differential operators on manifolds of bounded geometry
• Quantum Riemann surfaces. I: The unit disc
• Deformation estimates for the Berezin-Toeplitz quantization
• Deformation theory and quantization. I: Deformations of symplectic structures
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Berezin--Toeplitz operators, a semi-classical approach
• Toeplitz quantization on Fock space
• Weighted Bergman kernels and quantization
• Semiclassical spectral analysis of the Bochner-Schrödinger operator on symplectic manifolds of bounded geometry
• Berezin-Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian
• Berezin-Toeplitz quantization for eigenstates of the Bochner Laplacian on symplectic manifolds
• Non-perturbative deformation quantization of Cartan domains
• Holomorphic Morse inequalities and Bergman kernels
• Exponential estimate for the asymptotics of Bergman kernels
• An Excursion into Berezin–Toeplitz Quantization and Related Topics
• On asymptotic expansions of generalized Bergman kernels on symplectic manifolds
• Asymptotic and geometric quantization
• The Spectral Theory of Toeplitz Operators. (AM-99)
• QUANTIZATION
• Berezin–Toeplitz quantization for lower energy forms
• Generalized Bergman kernels on symplectic manifolds of bounded geometry
• QUANTIZATION METHODS: A GUIDE FOR PHYSICISTS AND ANALYSTS
• Uniform continuity and quantization on bounded symmetric domains
• Asymptotic expansions for Toeplitz operators on symmetric spaces of general type
• Quantization and unitary representations
• Generalized Bergman kernels on symplectic manifolds
• On the asymptotic expansion of Bergman kernel
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