53 citations · 500 across the 103 of their papers we have counts for
4 papers · 1 filter
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…
A general Plucker formula
Naichung Conan Leung
We prove a formula which compares intersection numbers of conormal varieties of two projective varieties and their dual varieties. When one of them is linear, we can recover the us…
The signature of a toric variety
Naichung Conan Leung, Victor Reiner
We identify a combinatorial quantity (the alternating sum of the h-vector) defined for any simple polytope as the signature of a toric variety. This quantity was introduced by Char…
Lagrangian submanifolds in Hyperkahler manifolds, Legendre transformation
Naichung Conan Leung
We develop the foundation of the complex symplectic geometry of Lagrangian subvarieties in a hyperkahler manifold. We establish a characterization, a Chern number inequality, topol…