5 papers
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 pow…
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…
A perturbative construction of primitive forms from log Landau-Ginzburg mirrors of toric manifolds
Kwokwai Chan, Ziming Nikolas Ma, Hao Wen
We introduce the notion of a logarithmic Landau-Ginzburg (log LG) model, which is essentially given by equipping the central degenerate fiber of the family of Landau-Ginzburg (LG)…
Quantum cohomology, shift operators, and Coulomb branches
Ki Fung Chan, Kwokwai Chan, Chin Hang Eddie Lam
Given a complex reductive group and a -representation , there is an associated Coulomb branch algebra defined by Braverman, Fi…
Smoothing, scattering, and a conjecture of Fukaya
Kwokwai Chan, Naichung Conan Leung, Ziming Nikolas Ma
In 2002, Fukaya proposed a remarkable explanation of mirror symmetry detailing the SYZ conjecture by introducing two correspondences: one between the theory of pseudo-holomorphic c…