922 citations · 7.2k across the 348 of their papers we have counts for
12 papers · 1 filter
Moduli Space of Torsional Manifolds
Melanie Becker, Li-Sheng Tseng, Shing-Tung Yau
We characterize the geometric moduli of non-Kaehler manifolds with torsion. Heterotic supersymmetric flux compactifications require that the six-dimensional internal manifold be ba…
Degeneration and gluing of Kuranishi structures in Gromov-Witten theory and the degeneration/gluing axioms for open Gromov-Witten invariants under a symplectic cut
Chien-Hao Liu, Shing-Tung Yau
We study the degeneration and the gluing of Kuranishi structures in Gromov-Witten theory under a symplectic cut. This leads us to a degeneration axiom and a gluing axiom for open G…
Structures of Three-Manifilds
Shing-Tung Yau
This is lecture notes of a talk I gave at the Morningside Center of Mathematics on June 20, 2006. In this talk, I survey on Poincare and geometrization conjecture.
Obstructions to the Existence of Sasaki-Einstein Metrics
Jerome P. Gauntlett, Dario Martelli, James Sparks +1
We describe two simple obstructions to the existence of Ricci-flat Kahler cone metrics on isolated Gorenstein singularities or, equivalently, to the existence of Sasaki-Einstein me…
Yukawa Couplings on Quintic Threefolds
Ron Donagi, Rene Reinbacher, Shing-Tung Yau
We compute the particle spectrum and some of the Yukawa couplings for a family of heterotic compactifications on quintic threefolds X involving bundles that are deformations of TX+…
The theory of superstring with flux on non-Kahler manifolds and the complex Monge-Ampere equation
Ji-Xiang Fu, Shing-Tung Yau
The purpose of this paper is to solve a problem posed by Strominger in constructing smooth models of superstring theory with flux. These are given by non-Kahler manifolds with tors…