53 citations · 434 across the 46 of their papers we have counts for
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Quantizable functions on Kähler manifolds and non-formal quantization
Kwokwai Chan, Naichung Conan Leung, Qin Li
Applying the Fedosov connections constructed in our previous work, we find a (dense) subsheaf of smooth functions on a Kähler manifold which admits a non-formal deformation qua…
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…
BV quantization of the Rozansky-Witten model
Kwokwai Chan, Naichung Conan Leung, Qin Li
We investigate the perturbative aspects of Rozansky-Witten's 3d -model using Costello's approach to the Batalin-Vilkovisky (BV) formalism. We show that the BV quantization (in C…