53 citations · 434 across the 46 of their papers we have counts for
11 papers · 1 filter
Iwahori-Coulomb branches, stable envelopes, and quantum cohomology of cotangent bundles of flag varieties
Ki Fung Chan, Kwokwai Chan, Chi Hong Chow +1
We consider Iwahori-Coulomb branches , which are the affine flag analogs of the original Coulomb branches $\mathcal{A}_{G,\math…
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…
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)…
From deformation theory to tropical geometry
Kwokwai Chan
This is a write-up of the author's invited talk at the Eighth International Congress of Chinese Mathematicians (ICCM) held at Beijing in June 2019. We give a survey on joint works…
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…
Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces
Kwokwai Chan, Ziming Nikolas Ma, Yat-Hin Suen
We introduce the notion of tropical Lagrangian multi-sections over a -dimensional integral affine manifold with singularities, and use them to study the reconstruction probl…
Smoothing pairs over degenerate Calabi-Yau varieties
Kwokwai Chan, Ziming Nikolas Ma
We apply the techniques developed in our previous work with Leung to study smoothings of a pair , where is a bounded perfect complex of locally…
Geometry of the Maurer-Cartan equation near degenerate Calabi-Yau varieties
Kwokwai Chan, Naichung Conan Leung, Ziming Nikolas Ma
Given a degenerate Calabi-Yau variety equipped with local deformation data, we construct an almost differential graded Batalin-Vilkovisky (dgBV) algebra , producin…
Tropical counting from asymptotic analysis on Maurer-Cartan equations
Kwokwai Chan, Ziming Nikolas Ma
Let be a toric surface and be its Landau-Ginzburg (LG) mirror where is the Hori-Vafa potential. We apply asymptotic analysis to study the extended de…
Scattering diagrams from asymptotic analysis on Maurer-Cartan equations
Kwokwai Chan, Naichung Conan Leung, Ziming Nikolas Ma
Let be a semi-flat Calabi-Yau manifold equipped with a Lagrangian torus fibration . We investigate the asymptotic behavior of M…
Open Gromov-Witten invariants and superpotentials for semi-Fano toric surfaces
Kwokwai Chan, Siu-Cheong Lau
In this paper, we compute the open Gromov-Witten invariants for every compact toric surface X which is semi-Fano (i.e. the anticanonical line bundle is nef). Unlike the Fano case,…