Michael Moy

activity

20242026

collaborators

3 papers

math.AT2026

Matrix Algebra for Persistence Modules Yields a Proof of the Isometry Theorem

Michael Moy

The main purpose of this paper is to provide a simple proof of the isometry theorem for one-parameter persistence modules, in which a matrix representing one morphism of an interle…

math.AT2025

Anti-Vietoris--Rips metric thickenings and Borsuk graphs

Henry Adams, Alex Elchesen, Sucharita Mallick +1

For $X$ a metric space and $r \geq 0$ , the anti-Vietoris-Rips metric thickening $AV R^{m} (X; r)$ is the space of all finitely supported probability measures on $X$ whose support…

math.AT2024

Persistent equivariant cohomology

Henry Adams, Evgeniya Lagoda, Michael Moy +2

This article has two goals. First, we hope to give an accessible introduction to persistent equivariant cohomology. Given a topological group $G$ acting on a filtered space, persis…