53 citations · 500 across the 103 of their papers we have counts for
6 papers · 1 filter
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…
Functorial relationships between quantum cohomology of complete and partial flag varieties
Naichung Conan Leung, Changzheng Li
We give a natural filtration F on quantum cohomology QH(G/B) of G/B, which respects the quantum product structure. Its associated graded algebra is isomorphic to the tensor product…
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…
Matrix factorizations from SYZ transformations
Kwokwai Chan, Naichung Conan Leung
It is known that Lagrangian torus fibers of the moment map of a toric Fano manifold , equipped with flat -connections, are mirror to matrix factorizations of the mirror su…
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…