Quantization of Kähler manifolds

Abstract

This is a survey on our recent works which reveal new relationships among deformation quantization, geometric quantization, Berezin-Toeplitz quantization and BV quantization on Kähler manifolds.

21 pages; v2: final version. arXiv admin note: text overlap with arXiv:2008.11496

References in corpus (4)

• Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces
• Kapranov's $L_{\infty }$ structures, Fedosov's star products, and one-loop exact BV quantizations on Kähler manifolds
• Bargmann-Fock sheaves on Kähler manifolds
• A geometric construction of representations of the Berezin-Toeplitz quantization

Cited by in corpus (4)

• Wick Rotations in Deformation Quantization
• Invariant metric on the extended Siegel-Jacobi upper half space
• Convergence of Star Product: From Examples to a General Framework
• A Trace-Path Integral Formula over Function Fields