36 citations · 136 across the 13 of their papers we have counts for
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Geometric quantization and quantum moment maps on coadjoint orbits and Kähler-Einstein manifolds
Naichung Conan Leung, Qin Li, Ziming Nikolas Ma
Deformation quantization and geometric quantization on Kähler manifolds give the mathematical description of the algebra of quantum observables and the Hilbert spaces respectively,…
Quantization of Kähler manifolds
Kwokwai Chan, Naichung Conan Leung, Qin Li
This is a survey on our recent works which reveal new relationships among deformation quantization, geometric quantization, Berezin-Toeplitz quantization and BV quantization on Käh…
Bargmann-Fock sheaves on Kähler manifolds
Kwokwai Chan, Naichung Conan Leung, Qin Li
Fedosov used flat sections of the Weyl bundle on a symplectic manifold to construct a star product which gives rise to a deformation quantization. By extending Fedosov's me…
Kapranov's structures, Fedosov's star products, and one-loop exact BV quantizations on Kähler manifolds
Kwokwai Chan, Naichung Conan Leung, Qin Li
We study quantization schemes on a Kähler manifold and relate several interesting structures. We first construct Fedosov's star products on a Kähler manifold as quantizations o…
A geometric construction of representations of the Berezin-Toeplitz quantization
Kwokwai Chan, Naichung Conan Leung, Qin Li
For a Kähler manifold equipped with a prequantum line bundle , we give a geometric construction of a family of representations of the Berezin-Toeplitz deformation quantizati…