3 papers
math.AT2026
Gauge Geometry of Hodge Zero-Mode Transport in Parameter-Dependent Topological Data Analysis
Satoshi Kanno, Rei Nishimura, Hiroshi Yamauchi +1
We propose a practical computational framework for detecting structural changes in parameter-dependent topological data. In many applications, such as time-series data analysis, an…
quant-ph2025
Quantum spectroscopy of topological dynamics via a supersymmetric Hamiltonian
Hiroshi Yamauchi, Satoshi Kanno, Yuki Sato +4
Topological data analysis (TDA) characterizes complex dynamics through global invariants, but classical computation becomes prohibitive for high-dimensional data. We reinterpret ti…
math.QA2025
The classification of vertex operator algebras of OZ-type generated by Ising vectors of -type
Cuipo Jiang, Ching Hung Lam, Hiroshi Yamauchi
We classify vertex operator algebras (VOAs) of OZ-type generated by Ising vectors of -type. As a consequence of the classification, we also prove that such VOAs are simple, rat…