Generalized Bergman kernels on symplectic manifolds of bounded geometry

DOI10.1080/03605302.2019.1611849zbMath1425.58016arXiv1806.06401OpenAlexW3102800515MaRDI QIDQ5234606

George Marinescu, Xiaonan Ma, Yurii A. Kordyukov

Publication date: 30 September 2019

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.06401

zbMATH Keywords

Bergman kernelorbifoldsymplectic manifoldBerezin-Toeplitz quantizationbounded geometryBochner-Laplacian

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Geometric quantization (53D50) Perturbations of PDEs on manifolds; asymptotics (58J37)

Related Items (6)

Berezin-Toeplitz quantization associated with higher Landau levels of the Bochner Laplacian ⋮ Semiclassical asymptotic expansions for functions of the Bochner-Schrödinger operator ⋮ Fractional exponential decay in the forbidden region for Toeplitz operators ⋮ Semiclassical spectral analysis of Toeplitz operators on symplectic manifolds: the case of discrete wells ⋮ Semiclassical spectral analysis of the Bochner-Schrödinger operator on symplectic manifolds of bounded geometry ⋮ Berezin-Toeplitz quantization on symplectic manifolds of bounded geometry

Cites Work

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• Szegő kernels and Poincaré series
• Almost complex structures and geometric quantization
• The spin\(^{\mathbf c}\) Dirac operator on high tensor powers of a line bundle
• On a set of polarized Kähler metrics on algebraic manifolds
• Toeplitz operators on symplectic manifolds
• \(L^ p\)-theory of elliptic differential operators on manifolds of bounded geometry
• Complex immersions and Quillen metrics
• The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Holomorphic Morse inequalities and Bergman kernels
• Donaldson's \(Q\)-operators for symplectic manifolds
• Exponential estimate for the asymptotics of Bergman kernels
• A note on curvature and fundamental group
• Berezin-Toeplitz quantization and its kernel expansion
• On asymptotic expansions of generalized Bergman kernels on symplectic manifolds
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Berezin–Toeplitz quantization for lower energy forms
• Orbifolds and analytic torsions
• Generalized Bergman kernels on symplectic manifolds
• On the asymptotic expansion of Bergman kernel

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