Quantum Riemann surfaces for arbitrary Planck’s constant

DOI10.1063/1.531503zbMath0899.46060OpenAlexW2017171134MaRDI QIDQ5284268

Andrzej Lesniewski, Sławomir Klimek-Chudy

Publication date: 12 November 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/8997e00cfdb3e34fd5321c8746ee5664b3ab0aec

zbMATH Keywords

Toeplitz operatorsgeometric quantizationholomorphic line bundlesspaces of automorphic formsnoncompact covering spacequantization of Riemann surfaces

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Applications of differential geometry to physics (53Z05) Geometry and quantization, symplectic methods (81S10)

Related Items (3)

An obstruction to quantization of the sphere ⋮ Quantization of multiply connected manifolds ⋮ Strict quantizations of almost Poisson manifolds

Cites Work

• General concept of quantization
• Quantum Riemann surfaces. I: The unit disc
• Quantum Riemann surfaces. II: The discrete series
• Deformation estimates for the Berezin-Toeplitz quantization
• A class of subnormal operators related to multiply-connected domains
• Quantum Riemann surfaces. III: The exceptional cases
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Deformation quantization of Heisenberg manifolds
• On the cohomology of Fuchsian groups
• Automorphic Forms and Poincare Series for Infinitely Generated Fuchsian Groups

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