activity
19972026
most citedMirror symmetry for toric Fano manifolds via SYZ transformations

53 citations · 500 across the 103 of their papers we have counts for

collaborators
Showing math.AGShow all

40 papers · 1 filter

math.AG2026

Lagrangian Intersections, Symplectic Reduction and Kirwan Surjectivity

Naichung Conan Leung, Ying Xie, Yu Tung Yau

Given a smooth holomorphic symplectic variety with a Hamiltonian -action, -invariant Lagrangians induce Lagrangians in the symplectic quotient . Given clean…

math.AG2025

A-D-E diagrams, Hodge--Tate hyperplane sections and semisimple quantum cohomology

Pieter Belmans, Sergey Galkin, Naichung Conan Leung +3

It is known that the semisimplicity of quantum cohomology implies the vanishing of off-diagonal Hodge numbers (Hodge--Tateness). We investigate which hyperplane sections of homogen…

math.AG2023

On Derived Categories of Generalized Grassmannian Flips

Naichung Conan Leung, Ying Xie

In this paper, we construct and classify a new family of flips, called generalized Grassmannian flips, by generalizing the construction of standard flips for $\mathbb{P}^m\times \m…

math.AG2022

ADE Bundles over Surfaces

Yunxia Chen, Naichung Conan Leung

This is a review paper about ADE bundles over surfaces. Based on the deep connections between the geometry of surfaces and ADE Lie theory, we construct the corresponding ADE bundle…

math.AG2022

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.AG2022

Elliptic Hypertoric Varieties

Naichung Conan Leung, Xiao Zheng

We introduce elliptic hypertoric varieties, which is an elliptic analogue of hypertoric varieties and multiplicative hypertoric varieties. We also prove an elliptic version of Hiki…