PreprintCC BY 4.0arXiv
A stable multipersistence invariant for ladder modules
Abstract
We define an additive functor S that assigns a three parameter persistence module to every morphism between one parameter persistence modules. We show that if the morphism is bar-to-bar, then its image under S is rectangle decomposable. We prove that S is stable with respect to the interleaving distance and study further properties of the functor related to rectangle decompositions.
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BibTeX
@misc{delgadogarrido2026stable,
title = {{A stable multipersistence invariant for ladder modules}},
author = {Marco Delgado-Garrido and Lars Moberg Salbu and Alvaro Torras-Casas and Rocio Gonzalez-Diaz},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.23838},
eprint = {2610.23838},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.23838},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A stable multipersistence invariant for ladder modules
AU - Marco Delgado-Garrido
AU - Lars Moberg Salbu
AU - Alvaro Torras-Casas
AU - Rocio Gonzalez-Diaz
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2610.23838
UR - https://arxiv.org/abs/2610.23838
AB - We define an additive functor S that assigns a three parameter persistence module to every morphism between one parameter persistence modules. We show that if the morphism is bar-to-bar, then its image under S is rectangle decomposable. We prove that S is stable with respect to the interleaving distance and study further properties of the functor related to rectangle decompositions.
ER -