922 citations · 7.2k across the 348 of their papers we have counts for
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Moment maps, nonlinear PDE, and stability in mirror symmetry
Tristan C. Collins, Shing-Tung Yau
We study the deformed Hermitian-Yang-Mills (dHYM) equation, which is mirror to the special Lagrangian equation, from the variational point of view via an infinite dimensional GIT p…
Evaluating Quasi-local Angular Momentum and Center-of-Mass at Null Infinity
Jordan Keller, Ye-Kai Wang, Shing-Tung Yau
We calculate the limits of the quasi-local angular momentum and center-of-mass defined by Chen-Wang-Yau \cite{CWY} for a family of spacelike two-spheres approaching future null inf…
Atiyah class and sheaf counting on local Calabi Yau fourfolds
Duiliu-Emanuel Diaconescu, Artan Sheshmani, Shing-Tung Yau
We discuss Donaldson-Thomas (DT) invariants of torsion sheaves with 2 dimensional support on a smooth projective surface in an ambient non-compact Calabi Yau fourfold given by the…
K3 surfaces from configurations of six lines in and mirror symmetry I
Shinobu Hosono, Bong H. Lian, Hiromichi Takagi +1
From the viewpoint of mirror symmetry, we revisit the hypergeometric system for a family of K3 surfaces. We construct a good resolution of the Baily-Borel-Satake compactif…
Latent Space Optimal Transport for Generative Models
Huidong Liu, Yang Guo, Na Lei +4
Variational Auto-Encoders enforce their learned intermediate latent-space data distribution to be a simple distribution, such as an isotropic Gaussian. However, this causes the pos…
fermionic D3-branes in RNS formulation I. -Algebrogeometric foundations of , supersymmetry, SUSY-rep compatible hybrid connections, and -chiral maps from a Azumaya/matrix superspace
Chien-Hao Liu, Shing-Tung Yau
As the necessary background to construct from the aspect of Grothendieck's Algebraic Geometry dynamical fermionic D3-branes along the line of Ramond-Neveu-Schwarz superstrings in s…