Geometric quantization results for semi-positive line bundles on a Riemann surface
DOI10.1007/s12220-024-01571-3arXiv2310.14372OpenAlexW4393119413MaRDI QIDQ6131311
George Marinescu, Nikhil Savale
Publication date: 5 April 2024
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2310.14372
Berezin-Toeplitz quantizationholomorphic torsionsemi-positive line bundleBergman kernel expansionTian's approximation theoremzeros for random holomorphic sections
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Geometric quantization (53D50) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Sub-Riemannian geometry (53C17)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Equidistribution and convergence speed for zeros of holomorphic sections of singular Hermitian line bundles
- Asymptotic distribution of complex zeros of random analytic functions
- Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results
- On a set of polarized Kähler metrics on algebraic manifolds
- Toeplitz operators on symplectic manifolds
- The asymptotics of the Ray-Singer analytic torsion associated with high powers of a positive line bundle
- Distribution of zeros of random and quantum chaotic sections of positive line bundles
- Quantum chaotic dynamics and random polynomials
- Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
- Berezin--Toeplitz operators, a semi-classical approach
- Spectral theory for tensor products of Hermitian holomorphic line bundles
- Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases
- Random polynomials and pluripotential-theoretic extremal functions
- Holomorphic Morse inequalities and Bergman kernels
- Distribution of the values of meromorphic transformations and applications
- The Spectral Theory of Toeplitz Operators. (AM-99)
- QUANTIZATION
- Berezin–Toeplitz quantization for lower energy forms
- The Complex Zeros of Random Polynomials
- Universality results for zeros of random holomorphic sections
- Semi-classical properties of Berezin–Toeplitz operators with $\mathscr {C}^k$Ck-symbol
- Bounds for the Discrete Part of the Spectrum of a Semi-Bounded Schrödinger Operator.
- On the average number of real roots of a random algebraic equation
- Generalized Bergman kernels on symplectic manifolds
- On the asymptotic expansion of Bergman kernel
- Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel
This page was built for publication: Geometric quantization results for semi-positive line bundles on a Riemann surface
