Quantization and isotropic submanifolds
From MaRDI portal
Publication:2113447
DOI10.1307/mmj/20195787zbMath1494.53099arXiv1802.09930OpenAlexW3119185589MaRDI QIDQ2113447
Publication date: 14 March 2022
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.09930
Geometry and quantization, symplectic methods (81S10) Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26) Geometric quantization (53D50) General theory of automorphic functions of several complex variables (32N05)
Related Items
On vector-valued automorphic forms on bounded symmetric domains ⋮ Szegő limit theorems for singular Berezin-Toeplitz operators
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The metaplectic correction in geometric quantization
- Toric Kähler metrics seen from infinity, quantization and compact tropical amoebas
- The spin\(^{\mathbf c}\) Dirac operator on high tensor powers of a line bundle
- Closed geodesics and pluricanonical sections on ball quotients
- Equivariant asymptotics for Bohr-Sommerfeld Lagrangian submanifolds
- Toeplitz operators on symplectic manifolds
- Closed geodesics, periods and arithmetic of modular forms
- Quantum field theory and the Jones polynomial
- Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula
- Wave functions relative to a real polarization
- 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
- Berezin--Toeplitz operators, a semi-classical approach
- Bohr-Sommerfeld tori and relative Poincaré series on a complex hyperbolic space
- On vector-valued automorphic forms on bounded symmetric domains
- Classical Chern-Simons theory. I
- Legendrian distributions with applications to relative Poincaré series
- Berezin-Toeplitz quantization for eigenstates of the Bochner Laplacian on symplectic manifolds
- Holomorphic Morse inequalities and Bergman kernels
- Donaldson's \(Q\)-operators for symplectic manifolds
- On Bohr-Sommerfeld bases
- The Spectral Theory of Toeplitz Operators. (AM-99)
- Abelian Lagrangian algebraic geometry
- Orbifolds and analytic torsions
- Bergman kernels on punctured Riemann surfaces
- Generalized Bergman kernels on symplectic manifolds
- On the asymptotic expansion of Bergman kernel
