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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…
Decay of Solutions of the Wave Equation in the Kerr Geometry
Felix Finster, Niky Kamran, Joel Smoller +1
We consider the Cauchy problem for the scalar wave equation in the Kerr geometry for smooth initial data supported outside the event horizon. We prove that the solutions decay in t…
The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
Dario Martelli, James Sparks, Shing-Tung Yau
We show that the Reeb vector, and hence in particular the volume, of a Sasaki-Einstein metric on the base of a toric Calabi-Yau cone of complex dimension n may be computed by minim…
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…