36 citations · 136 across the 13 of their papers we have counts for
13 papers
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…
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…
Structured random sketching for PDE inverse problems
Ke Chen, Qin Li, Kit Newton +1
For an overdetermined system with and given, the least-square (LS) formulation $\min_x \, \|\mathsf{A}\mathsf{x}…
Applications of Kinetic Tools to Inverse Transport Problems
Qin Li, Weiran Sun
We show that the inverse problems for a class of kinetic equations can be solved by classical tools in PDE analysis including energy estimates and the celebrated averaging lemma. U…
A sparse decomposition of low rank symmetric positive semi-definite matrices
Thomas Y. Hou, Qin Li, Pengchuan Zhang
Suppose that is symmetric positive semidefinite with rank . Our goal is to decompose into rank-one matrices $\sum_{k=1}^K g_k g_k^T…
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…