2 papers
math.RT2025
Geometric construction of Kashiwara crystals on multiparameter persistence
Yasuaki Hiraoka, Kohei Yahiro
We establish a geometric construction of Kashiwara crystals on the irreducible components of the varieties of multiparameter persistence modules. Our approach differs from the semi…
math.AT2024
Persistence module and Schubert calculus
Yasuaki Hiraoka, Kohei Yahiro, Chenguang Xu
A multiplication on persistence diagrams is introduced by means of Schubert calculus. The key observation behind this multiplication comes from the fact that the representation spa…