13 citations · 17 across the 3 of their papers we have counts for
4 papers
Hitchin's -invariant and positive sectional curvature on homotopy -spheres
Yang-Hui He, Ziran Liu, Shing-Tung Yau
We prove that a smooth homotopy -sphere admits a Riemannian metric of positive sectional curvature if and only if its Hitchin -invariant vanishes, or equivalently if and only…
Futaki Invariants and Reflexive Polygons
Jiakang Bao, Eugene Choi, Yang-Hui He +2
Futaki invariants of the classical moduli space of 4d N=1 supersymmetric gauge theories determine whether they have a conformal fixed point in the IR. We systematically compute the…
Distinguishing Calabi-Yau Topology using Machine Learning
Yang-Hui He, Zhi-Gang Yao, Shing-Tung Yau
While the earliest applications of AI methodologies to pure mathematics and theoretical physics began with the study of Hodge numbers of Calabi-Yau manifolds, the topology type of…
A Triumvirate of AI Driven Theoretical Discovery
Yang-Hui He
Recent years have seen the dramatic rise of the usage of AI algorithms in pure mathematics and fundamental sciences such as theoretical physics. This is perhaps counter-intuitive s…