Star products and local line bundles.

DOI10.5802/aif.2060zbMath1061.47064arXiv0801.0153OpenAlexW1800204607MaRDI QIDQ1774073

Richard B. Melrose

Publication date: 29 April 2005

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0801.0153

zbMATH Keywords

contact manifolddeformation quantizationindex formulastar productToeplitz algebragerbeSzegö projectionreal cohomologylocal line bundle

Mathematics Subject Classification ID

Deformation quantization, star products (53D55) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (5)

Quantization of Kähler manifolds ⋮ Asymptotics of partial density functions for divisors ⋮ Deformation quantization via Toeplitz operators on geometric quantization in real polarizations ⋮ Bargmann-Fock sheaves on Kähler manifolds ⋮ Analytic Pontryagin duality

Cites Work

• Deformation quantization and asymptotic operator representation
• Contact degree and the index of Fourier integral operators
• \(K\)-theory of \(C^*\)-algebras of b-pseudodifferential operators
• Star products on compact pre-quantizable symplectic manifolds
• A new proof of Weyl's formula on the asymptotic distribution of eigenvalues
• Fractional analytic index
• Noncommutative microlocal analysis. I
• The Spectral Theory of Toeplitz Operators. (AM-99)
• Calculus on Heisenberg Manifolds. (AM-119)
• Bundle Gerbes
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Star products and local line bundles.