10 citations · 27 across the 5 of their papers we have counts for
7 papers · 1 filter
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…
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…
Harmonic maps and the topology of conformally compact Einstein manifolds
Naichung Conan Leung, Tom Yau-heng Wan
We study the topology of a complete asymptotically hyperbolic Einstein manifold such that its conformal boundary has positive Yamabe invariant. We proved that all maps from such ma…
Mirror symmetry without corrections
Naichung Conan Leung
We give geometric explanations and proofs of various mirror symmetry conjectures for -invariant Calabi-Yau manifolds when instanton corrections are absent. This uses fiberwi…