36 citations · 136 across the 13 of their papers we have counts for
7 papers · 1 filter
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…
Batalin-Vilkovisky quantization and the algebraic index
Ryan E. Grady, Qin Li, Si Li
Into a geometric setting, we import the physical interpretation of index theorems via semi-classical analysis in topological quantum field theory. We develop a direct relationship…
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…
On the B-twisted topological sigma model and Calabi-Yau geometry
Qin Li, Si Li
We provide a rigorous perturbative quantization of the B-twisted topological sigma model via a first order quantum field theory on derived mapping space in the formal neighborhood…
Cardy algebras and sewing constraints, II
Liang Kong, Qin Li, Ingo Runkel
This is the part II of a two-part work started in arXiv:0807.3356 [math.QA]. In part I, Cardy algebras were studied, a notion which arises from the classification of genus-0,1 open…