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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.05516 |
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| _version_ | 1866911140847550464 |
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| author | Himes, Zachary Miller, Jeremy Wilson, Jennifer C. H. |
| author_facet | Himes, Zachary Miller, Jeremy Wilson, Jennifer C. H. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05516 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Representation stability for ordered Hurwitz spaces Himes, Zachary Miller, Jeremy Wilson, Jennifer C. H. Algebraic Topology Number Theory 55P48, 55R80 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. |
| title | Representation stability for ordered Hurwitz spaces |
| topic | Algebraic Topology Number Theory 55P48, 55R80 |
| url | https://arxiv.org/abs/2509.05516 |