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arXiv · 2610.23838

A stable multipersistence invariant for ladder modules

Marco Delgado-Garrido·Lars Moberg Salbu·Alvaro Torras-Casas·Rocio Gonzalez-Diaz
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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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Marco Delgado-Garrido, Lars Moberg Salbu, Alvaro Torras-Casas, Rocio Gonzalez-Diaz. 2026-10-16. A stable multipersistence invariant for ladder modules. https://arxiv.org/abs/2610.23838

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