Quantum Riemann surfaces. III: The exceptional cases

DOI10.1007/BF00761123zbMath0814.46061OpenAlexW1974228976MaRDI QIDQ1334979

Andrzej Lesniewski, Sławomir Klimek-Chudy

Publication date: 26 September 1994

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

Full work available at URL: https://doi.org/10.1007/bf00761123

zbMATH Keywords

dependence of quantum Riemann surfaces on the deformation parameterexceptional Riemann surfacesquantum deformations of Riemann surfacesstate deformation estimatesuniformization theorems

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)

Related Items (6)

Quantum Riemann surfaces for arbitrary Planck’s constant ⋮ Derivations and reflection positivity on the quantum cylinder ⋮ Low dimensional matrix representations for noncommutative surfaces of arbitrary genus ⋮ D-bar operators on quantum domains ⋮ On asymptotic expansion of the harmonic Berezin transform on the half-space ⋮ Derivations and spectral triples on quantum domains II: quantum annulus

Cites Work

• General concept of quantization
• Non-commutative differential geometry
• Geometric quantization and quantum mechanics
• Quantum Riemann surfaces. I: The unit disc
• Quantum Riemann surfaces. II: The discrete series
• Deformation estimates for the Berezin-Toeplitz quantization
• Supersymmetry and Fredholm modules over quantized spaces
• Super Toeplitz operators and non-perturbative deformation quantization of supermanifolds
• \(gl(\infty{})\) and geometric quantization
• Matrix Cartan superdomains, super Toeplitz operators, and quantization
• Non-perturbative deformation quantization of Cartan domains
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