{
  "abstract": "For each $g\\ge 2$, we show that there are finitely many cyclic commensurability classes of closed, fibered arithmetic hyperbolic $3$-manifolds with genus $g$ fiber. More generally, we show that there are only finitely many conjugacy classes of admissible surface subgroups of PSL$_2(\\mathbb{C})$ whose image is contained in the fundamental group of some arithmetic hyperbolic $3$-manifold. We also give an effectively computable upper bound with effective asymptotic rate on both finiteness statements. This affirms a conjecture of Bowditch, Maclachlan, and Reid.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28188",
  "author_total": 3,
  "authors": [
    {
      "name": "Tam Cheetham-West"
    },
    {
      "name": "Homin Lee"
    },
    {
      "name": "Nicholas Miller"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cft7e9anrkdq4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28188",
  "fulltext_url": null,
  "id": "cft7e9anrkdq4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28188",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7214236751",
  "pdf_url": "https://arxiv.org/pdf/2609.28188",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cft7e9anrkdq4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:00Z",
      "native_id": "2609.28188",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28188"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Finiteness of closed arithmetic hyperbolic surface bundles",
  "title_text": "Finiteness of closed arithmetic hyperbolic surface bundles",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:00Z",
  "url": "https://research.draconitic.com/paper/cft7e9anrkdq4",
  "venue": "arXiv",
  "versions": []
}