53 citations · 434 across the 46 of their papers we have counts for
9 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…
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…
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…
SYZ transforms for immersed Lagrangian multi-sections
Kwokwai Chan, Yat-Hin Suen
In this paper, we study the geometry of the SYZ transform on a semi-flat Lagrangian torus fibration. Our starting point is an investigation on the relation between Lagrangian surge…
On the jumping phenomenon of
Kwokwai Chan, Yat-Hin Suen
Let be a compact complex manifold and be a holomorphic vector bundle on . Given a deformation of the pair over a small polydisk c…
The Strominger-Yau-Zaslow conjecture and its impact
Kwokwai Chan
This article surveys the development of the SYZ conjecture since it was proposed by Strominger, Yau and Zaslow in their famous 1996 paper, and discusses how it has been leading us…
A differential-geometric approach to deformations of pairs
Kwokwai Chan, Yat-Hin Suen
This article gives an exposition of the deformation theory for pairs , where is a compact complex manifold and is a holomorphic vector bundle over , adapting an…
A Frölicher-type inequality for generalized complex manifolds
Kwokwai Chan, Yat-Hin Suen
We prove a Frölicher-type inequality for a compact generalized complex manifold , and show that the equality holds if and only if satisfies the generalized $\partial\bar{\pa…