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Computing Fringe Presentations of Multigraded Persistence Modules by Lenzen, Fabian is a scholarly article available to read on EtoBox.

What is Computing Fringe Presentations of Multigraded Persistence Modules about?

Minimal free resolutions and minimal free presentations are standard ways to represent the isomorphism type of a persistence module in software. This description is a multi-parameter generalization of the barcode known in one-parameter persistence. Another multi-parameter generalization of this concept is given by fringe presentations (Miller: 2020), which represents the module as the image of a morphism from a free to an injective module. In this paper, we demonstrate a way to calculate the matrix representing a fringe presentation of a given persistence module from a minimal free resolution of it.

Author

Lenzen, Fabian

Published

2024

Language

EN