53 citations · 500 across the 103 of their papers we have counts for
4 papers · 1 filter
The enumerative geometry of K3 surfaces and modular forms
Jim Bryan, Naichung Conan Leung
We prove the conjectures of Yau-Zaslow and Gottsche concerning the number curves on K3 surfaces. Specifically, let X be a K3 surface and C be a holomorphic curve in X representing…
Branes and Toric Geometry
N. C. Leung, C. Vafa
We show that toric geometry can be used rather effectively to translate a brane configuration to geometry. Roughly speaking the skeletons of toric space are identified with the bra…
Analytic Torsion for Quaternionic manifolds and related topics
Naichung Conan Leung, Sangkug Yi
In this paper we show that the Ray-Singer complex analytic torsion is trivial for even dimensional Calabi-Yau manifolds. Then we define the quaternionic analytic torsion for quater…
Uniformization of four manifolds
Naichung Conan Leung
We characteristize those Einstein four manifolds which are locally symmetric spaces of noncompact type. Namely they are four manifolds which admit solutions to the (non-Abelian) Se…