Deformation quantization via Toeplitz operators on geometric quantization in real polarizations

DOI10.1007/s00220-022-04503-wOpenAlexW3153524475MaRDI QIDQ2698688

Yu-Tung Yau, Naichung Conan Leung

Publication date: 24 April 2023

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

Full work available at URL: https://arxiv.org/abs/2104.05301

zbMATH Keywords

deformation quantization

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Deformation quantization, star products (53D55)

Cites Work

• Oscillatory modules
• Quantization of abelian varieties: distributional sections and the transition from Kähler to real polarizations
• On the canonical normalization of a trace density of deformation quantization
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• Star products and local line bundles.
• Algebraic index theorem
• Deformation quantizations with separation of variables on a Kähler manifold
• Batalin-Vilkovisky quantization and the algebraic index
• A geometric construction of representations of the Berezin-Toeplitz quantization
• Identification of Berezin-Toeplitz deformation quantization
• Harmonic Analysis in Phase Space. (AM-122)
• Magnitude of fourier coefficients and degree of approximation by riemann sums
• Almost-Kähler deformation quantization.
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