This paper proves representation stability in the homology of ordered Hurwitz spaces, highlighting their topological properties.
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.
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Himes et al. (2025) studied this question.
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