3 papers
math.AG2026
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)…
math.AG2024
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…
math.DG2024
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 classificati…