922 citations · 7.2k across the 348 of their papers we have counts for
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Bridgeland/Weak Stability Conditions under Spherical Twist Associated to A Torsion Sheaf
Tristan C. Collins, Jason Lo, Yun Shi +1
In this paper, we study the action of an autoequivalence, the spherical twist associated to a torsion sheaf, on the standard Bridgeland stability conditions and a generalized weak…
Multi-rigidity of Schubert classes in partial flag varieties
Yuxiang Liu, Artan Sheshmani, Shing-Tung Yau
In this paper, we study the multi-rigidity problem in rational homogeneous spaces. A Schubert class is called multi-rigid if every multiple of it can only be represented by a union…
Weak Stability Conditions as Limits of Bridgeland Stability Conditions
Tristan C. Colllins, Jason Lo, Yun Shi +1
In this paper, we give a definition of weak stability condition on a triangulated category. The difference between our definition and existing definitions is that we allow objects…
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…
Derived Moduli Spaces of Nonlinear PDEs II: Variational Tricomplex and BV Formalism
Jacob Kryczka, Artan Sheshmani, Shing-Tung Yau
This paper is the second in a series of works dedicated to studying non-linear partial differential equations via derived geometric methods. We study a natural derived enhancement…
Rigid Schubert classes in partial flag varieties
Yuxiang Liu, Artan Sheshmani, Shing-Tung Yau
A Schubert class is called rigid if it can only be represented by Schubert varieties. The rigid Schubert classes have been classified in Grassmannians and orthogonal Grassmannians.…