Representation stability for ordered Hurwitz spaces

Published 5 Sep 2025 in math.AT and math.NT | (2509.05516v1)

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.

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Representation stability for ordered Hurwitz spaces (5 likes, 0 questions)