Bargmann-Fock sheaves on Kähler manifolds

DOI10.1007/s00220-021-04251-3zbMath1481.53108arXiv2008.11496OpenAlexW3214171517MaRDI QIDQ2052686

Qin Li, Naichung Conan Leung, Kwokwai Chan

Publication date: 26 November 2021

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

Full work available at URL: https://arxiv.org/abs/2008.11496

zbMATH Keywords

Bargmann-Fock modulesdeformation quantization algebrassheaf of flat sectionsWeyl bundle

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Kähler manifolds (32Q15) Deformation quantization, star products (53D55)

Related Items (1)

Quantizable functions on Kähler manifolds and non-formal quantization

Cites Work

• Oscillatory modules
• Quantization of line bundles on Lagrangian subvarieties
• On a set of polarized Kähler metrics on algebraic manifolds
• Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits
• A simple geometrical construction of deformation quantization
• A Fedosov star product of the Wick type for Kähler manifolds
• Universality of Fedosov's construction for star products of Wick type on pseudo-Kähler manifolds
• Star products and local line bundles.
• Berezin–Toeplitz quantization on Kähler manifolds
• Rozansky-Witten invariants via Atiyah classes
• Wick type deformation quantization of Fedosov manifolds
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Bargmann-Fock sheaves on Kähler manifolds