2 papers
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…
math.AT2023
Refinement of Interval Approximations for Fully Commutative Quivers
Yasuaki Hiraoka, Ken Nakashima, Ippei Obayashi +1
A fundamental challenge in multiparameter persistent homology is the absence of a complete and discrete invariant. To address this issue, we propose an enhanced framework that real…