Representation stability for ordered Hurwitz spaces
Algebraic Topology
2025-09-09 v1 Number Theory
Abstract
In this paper, we study the topology of ordered Hurwitz space. These are moduli spaces of branched covers with a choice of ordering on the branched points. Answering a question of Ellenberg, we prove that the homology of ordered Hurwitz spaces exhibit representation stability.
Cite
@article{arxiv.2509.05516,
title = {Representation stability for ordered Hurwitz spaces},
author = {Zachary Himes and Jeremy Miller and Jennifer C. H. Wilson},
journal= {arXiv preprint arXiv:2509.05516},
year = {2025}
}