Quantization of K\"ahler manifolds

TL;DR

This survey explores recent advances in understanding the connections between various quantization methods on Kähler manifolds, highlighting new theoretical relationships among them.

Contribution

It provides a comprehensive overview of recent work revealing novel links between deformation, geometric, Berezin-Toeplitz, and BV quantization methods on Kähler manifolds.

Findings

Identified new relationships among different quantization techniques.

Unified various quantization approaches within the Kähler manifold context.

Enhanced understanding of the mathematical structure underlying quantization methods.

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 K\"ahler manifolds.