10 citations · 27 across the 5 of their papers we have counts for
17 papers
Counting Elliptic Curves in K3 Surfaces
Junho Lee, Naichung Conan Leung
We compute the genus one family Gromov-Witten invariants of K3 surfaces for non-primitive classes. These calculations verify Gottsche-Yau-Zaslow formula for non-primitive classes w…
Instantons and branes in manifolds with vector cross product
Jae-Hyouk Lee, Naichung Conan Leung
In this paper we study the geometry of manifolds with vector cross product and its complexification. First we develop the theory of instantons and branes and study their deformatio…
Intersection theory of coassociative submanifolds in G_(2)-manifolds and Seiberg-Witten invariants
Naichung Conan Leung, Xiaowei Wang
We study the problem of counting instantons with coassociative boundary condition in (almost) G_(2)-manifolds. This is analog to the open Gromov-Witten theory for counting holomorp…
Almost toric symplectic four-manifolds
Naichung Conan Leung, Margaret Symington
Almost toric manifolds form a class of singular Lagrangian fibered symplectic manifolds that is a natural generalization of toric manifolds. Notable examples include the K3 surface…
Riemannian geometry over different normed division algebra
Naichung Conan Leung
We develop a unifed theory to study geometry of manifolds with different holonomy groups. They are classified by (1) real, complex, quaternion or octonion number they are defined o…
Geometric Aspects of Mirror Symmetry (with SYZ for Rigid CY manifolds)
Naichung Conan Leung
In this article we discuss the geometry of moduli spaces of (1) flat bundles over special Lagrangian submanifolds and (2) deformed Hermitian-Yang-Mills bundles over complex submani…