27 citations · 55 across the 9 of their papers we have counts for
9 papers
Existence of Supersymmetric Hermitian Metrics with Torsion on Non-Kaehler Manifolds
Ji-Xiang Fu, Shing-Tung Yau
We proved the existence of supersymmetric Hermitian metrics with torsion on a class of non-Kaehler manifolds.
Transformation of algebraic Gromov-Witten invariants of three-folds under flops and small extremal transitions, with an appendix from the stringy and the symplectic viewpoint
Chien-Hao Liu, Shing-Tung Yau
We study how Gromov-Witten invariants of projective 3-folds transform under a standard flop and a small extremal transition in the algebro-geometric setting from the recent develop…
Positivity of quasi-local mass II
Chiu-Chu Melissa Liu, Shing-Tung Yau
We prove the following stronger verson of the positivity of quasi-local mass stated in gr-qc/0303019: the quasi-local energy (mass) of each connected component of the boundary of a…
Extracting Gromov-Witten invariants of a conifold from semi-stable reduction and relative GW invariants of pairs
Chien-Hao Liu, Shing-Tung Yau
The study of open/closed string duality and large duality suggests a Gromov-Witten theory for conifolds that sits on the border of both a closed Gromov-Witten theory and an ope…
The Existence of Supersymmetric String Theory with Torsion
Jun Li, Shing-Tung Yau
We derived an existence criterion to the Supersymmetric String Theory with Torsion proposed by Strominger and proved the existence of such theory for a class of Calabi-Yau threefol…
Canonical Metrics on the Moduli Space of Riemann Surfaces II
Kefeng Liu, Xiaofeng Sun, Shing-Tung Yau
In this paper we continue our study on the canonical metrics on the Teichmüller and the moduli space of Riemman surfaces. We first prove the equivalence of the Bergman metric and t…