{
  "abstract": "Let $\\X$ be a Hausdorff second-countable smooth orbifold without boundary, possibly noncompact and ineffective. Suppose $\\dim\\X\\leq n$ and $|G_x|\\leq B$ for integers $n\\geq0$ and $B\\geq1$, where $G_x$ is the full stabilizer at $x$. We construct a smooth Hermitian bundle of explicit rank $R(n,B)$ whose fibre at $x$ is a positive multiple of $\\C[G_x]$. Adams operations cancel the Bott obstructions on the boundary spheres of a locally finite good triangulation, and the connectivity of Stiefel manifolds gives actual bundles representing the resulting virtual classes. Smoothing preserves all stabilizer representations. Unitary frames give $\\X\\simeq[M/U(R(n,B))]$ for a smooth manifold $M$ with a proper locally free action; $M$ is compact exactly when $|\\X|$ is compact. Thus every compact smooth orbifold is presentable.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08125",
  "author_total": 2,
  "authors": [
    {
      "name": "Enrique Becerra"
    },
    {
      "name": "Ernesto Lupercio"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cjgk9dts7s50y.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08125",
  "fulltext_url": null,
  "id": "cjgk9dts7s50y",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08125",
  "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.AT"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "arxiv",
      "math.KT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7212021466",
  "pdf_url": "https://arxiv.org/pdf/2609.08125",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cjgk9dts7s50y.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2609.08125",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08125"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.KT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Regular Bundles on Orbifolds: A Short Proof of Presentability",
  "title_text": "Regular Bundles on Orbifolds: A Short Proof of Presentability",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/cjgk9dts7s50y",
  "venue": "arXiv",
  "versions": []
}