We prove that the ancestor Gromov-Witten correlation functions of one-dimensional compact
Calabi-Yau orbifolds are quasi-modular forms. This includes the pillowcase orbifold which …

We prove the Landau–Ginzburg/Calabi–Yau correspondence between the Gromov–Witten
theory of each elliptic orbifold curve and its Fan–Jarvis–Ruan–Witten theory counterpart via …

In this paper, we study modularity of several functions which naturally arose in a recent
paper of Lau and Zhou on open Gromov–Witten potentials of elliptic orbifolds. They derived …

We formulate a constructive theory of noncommutative Landau-Ginzburg models mirror to
symplectic manifolds based on Lagrangian Floer theory. The construction comes with a …

In this paper, we consider natural geometric objects coming from Lagrangian Floer theory
and mirror symmetry. Lau and Zhou showed that some of the explicit Gromov-Witten …

A fundamental object of study in mirror symmetry of $ n $-dimensional Fano varieties is the A-
side connection on small quantum cohomology. When the Picard rank is 1, the Borel …

We formulate a constructive theory of noncommutative Landau-Ginzburg models mirror to
symplectic manifolds based on Lagrangian Floer theory. The construction comes with a …

We introduce a joint project with Cheol-Hyun Cho on the construction of quantum-corrected
moduli of Lagrangian immersions. The construction has important applications to mirror …

It was shown in previous work that the one-variable μ μ^-function defined by Zwegers (and
Zagier) and his indefinite theta series attached to lattices of signature (r\!+\! 1, 1)(r+ 1, 1) are …

We find a relation between Lagrangian Floer pairing of a symplectic manifold and Kapustin–
Li pairing of the mirror Landau–Ginzburg model under localized mirror functor. They are …