{
  "abstract": "This paper proves strong restrictions on the underlying topological space of a closed, orientable hyperbolic 3-orbifold \\orbM whose volume satisfies a certain upper bound. For instance, if vol(\\orbM) < 0.1491, then the underlying space of \\orbM must be either a small Seifert fibered space, or the connected sum of two lens spaces (or of a lens space with S^2 x S^1), or the gluing of one or two highly restricted Seifert fibered spaces along a single incompressible torus. If vol(\\orbM) < 0.1571 and the singular locus of \\orbM is a link, then the topology of the underlying space is restricted even further. Our methods are primarily topological, and involve studying the underlying topology of orbifold books of I-bundles. Along the way, we provide an exposition of some foundational material about orbifolds that was previously absent from the literature.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.16212",
  "author_total": 2,
  "authors": [
    {
      "name": "David Futer"
    },
    {
      "name": "Peter B. Shalen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/46vcq5h4gm0bt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.16212",
  "fulltext_url": null,
  "id": "46vcq5h4gm0bt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.16212",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.16212",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/46vcq5h4gm0bt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:45Z",
      "native_id": "2609.16212",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.16212"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The underlying manifold of a low-volume hyperbolic 3-orbifold",
  "title_text": "The underlying manifold of a low-volume hyperbolic 3-orbifold",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:45Z",
  "url": "https://research.draconitic.com/paper/46vcq5h4gm0bt",
  "venue": "arXiv",
  "versions": []
}