922 citations · 7.2k across the 348 of their papers we have counts for
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C-R-T Fractionalization, Fermions, and Mod 8 Periodicity
Zheyan Wan, Juven Wang, Shing-Tung Yau +1
Charge conjugation (C), mirror reflection (R), time reversal (T), and fermion parity are basic discrete spacetime and internal symmetries of the Dirac fermions. In t…
Geometric Inequality for Axisymmetric Black Holes With Angular Momentum
Xuefeng Feng, Ruodi Yan, Sijie Gao +2
In an effort to understand the Penrose inequality for black holes with angular momentum, an axisymmetric, vacuum, asymptotically Euclidean initial data set subject to certain quasi…
Derived Moduli Spaces of Nonlinear PDEs: Singular Propagations
Jacob Kryczka, Artan Sheshmani, Shing-Tung Yau
We construct a sheaf theoretic and derived geometric machinery to study nonlinear partial differential equations and their singular supports. We establish a notion of derived micro…
A Robust Hessian-based Trust Region Algorithm for Spherical Conformal Parameterizations
Zhong-Heng Tan, Tiexiang Li, Wen-Wei Lin +1
Surface parameterizations are widely applied in computer graphics, medical imaging and transformation optics. In this paper, we rigorously derive the gradient vector and Hessian ma…
Super Gromov-Witten Invariants via torus localization
Enno Keßler, Artan Sheshmani, Shing-Tung Yau
In this article we propose a definition of super Gromov-Witten invariants by postulating a torus localization property for the odd directions of the moduli spaces of super stable m…
Duality in Gauge Theory, Gravity and String Theory
Uri Kol, Shing-Tung Yau
Einstein's theory in the vacuum was recently shown to possess an duality invariance, which is broken by coupling to matter. Duality invariance can be restored by enlarging…