53 citations · 500 across the 103 of their papers we have counts for
25 papers · 1 filter
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…
Grassmannian perspectives of classical Lie groups and Cartan involutions
Yunxia Chen, Naichung Conan Leung
Classical noncompact reductive Lie group admits a compactification as a Riemannian symmetric space by He. First, we provide a unified construction of these compa…
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 powe…
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 classificatio…
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,…
Sharp Hardy inequalities via Riemannian submanifolds
Yunxia Chen, Naichung Conan Leung, Wei Zhao
This paper is devoted to Hardy inequalities concerning distance functions from submanifolds of arbitrary codimensions in the Riemannian setting. On a Riemannian manifold with non-n…