# Nori diagrams and persistent homology

## TL;DR

This paper explores the intersection of persistent homology in computer science with algebraic geometry, specifically using Nori motivic constructions, and discusses model structures for persistent topology.

## Contribution

It introduces a novel algebraic geometric perspective on persistence, connecting computer science concepts with Nori motivic methods and model structures.

## Key findings

- Establishes a link between persistent homology and algebraic geometry.
- Proposes a framework for persistent topology using Nori diagrams.
- Discusses model structures relevant to persistent topology.

## Abstract

Recently, it was found that there is a remarkable intuitive similarity between studies in theoretical computer science dealing with large data sets on the one hand, and categorical methods of topology and geometry in pure mathematics, on the other. In this article, we treat the key notion of persistency from computer science in the algebraic geometric context involving Nori motivic constructions and related methods. We also discuss model structures for persistent topology.