ORCID
- Nathan Broomhead: 0000-0002-2710-215X
Document Type
Research Output
Abstract
This paper explores persistence modules for circle-valued functions, presenting a new extension of the interleaving and bottleneck distances in this setting. We propose a natural generalisation of barcodes in terms of arcs on a geometric model associated to the derived category of quiver representations. The main result is an isometry theorem that establishes an equivalence between the interleaving distance and the bottleneck distance for circle-valued persistence modules.
DOI Link
Publication Date
2025-06-03
Keywords
math.AT, math.RT
Recommended Citation
Broomhead, N., & Pirashvili, M. (2025) 'An isometry theorem for persistent homology of circle-valued functions', Available at: 10.48550/arXiv.2506.02999
