53 citations · 500 across the 103 of their papers we have counts for
4 papers · 1 filter
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…
Yau-Zaslow formula on K3 surfaces for non-primitive classes
Junho Lee, Naichung Conan Leung
We compute the genus zero family Gromov-Witten invariants for K3 surfaces using the topological recursion formula and the symplectic sum formula for a degeneration of elliptic K3 s…
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…