33 citations · 295 across the 37 of their papers we have counts for
5 papers · 1 filter
Modularity of Open Gromov-Witten Potentials of Elliptic Orbifolds
Siu-Cheong Lau, Jie Zhou
We study the modularity of the genus zero open Gromov-Witten potentials and its generating matrix factorizations for elliptic orbifolds. These objects constructed by Lagrangian Flo…
Non-Kaehler SYZ mirror symmetry
Siu-Cheong Lau, Li-Sheng Tseng, Shing-Tung Yau
We study SYZ mirror symmetry in the context of non-Kaehler Calabi-Yau manifolds. In particular, we study the six-dimensional Type II supersymmetric systems with Ramond-Ramo…
Localized mirror functor constructed from a Lagrangian torus
Cheol-Hyun Cho, Hansol Hong, Siu-Cheong Lau
Fixing a weakly unobstructed Lagrangian torus in a symplectic manifold X, we define a holomorphic function W known as the Floer potential. We construct a canonical A-infinity funct…
Gross-Siebert's slab functions and open GW invariants for toric Calabi-Yau manifolds
Siu-Cheong Lau
This paper derives an equality between the slab functions in Gross-Siebert program and generating functions of open Gromov-Witten invariants for toric Calabi-Yau manifolds, and the…
Lagrangian Floer potential of orbifold spheres
Cheol-Hyun Cho, Hansol Hong, Sang-hyun Kim +1
For each sphere with three orbifold points, we construct an algorithm to compute the open Gromov-Witten potential, which serves as the quantum-corrected Landau-Ginzburg mirror and…