Homological stability for configuration spaces of orbifolds

TL;DR

This paper establishes that the homology groups of configuration spaces of orbifolds stabilize as the number of points increases, extending known results from manifolds to orbifolds.

Contribution

It proves homological stability for orbifold configuration spaces, building on prior work that showed injectivity of stabilization maps.

Findings

Homological stability holds for orbifold configuration spaces.

Stabilization maps are injective for orbifolds.

Extends stability results from manifolds to orbifolds.

Abstract

We prove that homological stability holds for configuration spaces of orbifolds. This builds on the work of Bailes' thesis where he proves that the stabilisation maps are injective.