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math.DG2026
Quantization of Kähler manifolds via differential operators
Kwokwai Chan, Naichung Conan Leung, Qin Li +1
In this paper, we study the quantization of classical observables (i.e., functions) on a Kähler manifold as differential operators acting on holomorphic sections of tensor pow…
math.DG2026
Brane quantization and SYZ mirror symmetry
Kwokwai Chan, Naichung Conan Leung, Qin Li +2
Coisotropic A-branes were introduced by Kapustin--Orlov to enlarge the Fukaya category of a symplectic manifold in a way that aligns with predictions from homological mirror symmet…
math.DG2024
Symmetry in Deformation quantization and Geometric quantization
Naichung Conan Leung, Qin Li, Ziming Nikolas Ma
In this paper, we explore the quantization of Kähler manifolds, focusing on the relationship between deformation quantization and geometric quantization. We provide a classificati…