33 citations · 295 across the 37 of their papers we have counts for
5 papers · 1 filter
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,…
Conformal geometry and special holonomy
Siu-Cheong Lau, Naichung Conan Leung
A theorem of Lawson and Simons states that the only stable minimal submanifolds in complex projective spaces are complex submanifolds. We generalize their result to the cases of qu…
Mirror maps equal SYZ maps for toric Calabi-Yau surfaces
Siu-Cheong Lau, Naichung Conan Leung, Baosen Wu
We prove that the mirror map is the SYZ map for every toric Calabi-Yau surface. As a consequence one obtains an enumerative meaning of the mirror map. This involves computing genus…
A relation for Gromov-Witten invariants of local Calabi-Yau threefolds
Siu-Cheong Lau, Naichung Conan Leung, Baosen Wu
We compute certain open Gromov-Witten invariants for toric Calabi-Yau threefolds. The proof relies on a relation for ordinary Gromov-Witten invariants for threefolds under certain…
SYZ mirror symmetry for toric Calabi-Yau manifolds
Kwokwai Chan, Siu-Cheong Lau, Naichung Conan Leung
We investigate mirror symmetry for toric Calabi-Yau manifolds from the perspective of the SYZ conjecture. Starting with a non-toric special Lagrangian torus fibration on a toric Ca…