{
  "abstract": "Motivated by Teleman's study of gauged topological quantum field theories, our main result is an analog of Elmendorf's theorem in the setting of simplicial group actions on $\\infty$-categories. In particular, we prove that if $G$ is a simplicial group, there is a Quillen equivalence between the homotopy category of $\\infty$-categories with $G$-action and the homotopy category of $\\infty$-category-valued presheaves on the orbit category of $G$. We also show an analog of Whitehead's theorem in this setting.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33183",
  "author_total": 1,
  "authors": [
    {
      "name": "Peter Rowley"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/04x1fr4abkm0h.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33183",
  "fulltext_url": null,
  "id": "04x1fr4abkm0h",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33183",
  "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.RT"
    ],
    [
      "openalex",
      "2610|Homotopy and Cohomology in Algebraic Topology"
    ]
  ],
  "openalex": "W7223813593",
  "pdf_url": "https://arxiv.org/pdf/2610.33183",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-23",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/04x1fr4abkm0h.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.33183",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33183"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.RT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Elmendorf's Theorem for $\\infty$-categories",
  "title_text": "Elmendorf's Theorem for ∞-categories",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/04x1fr4abkm0h",
  "venue": "arXiv",
  "versions": []
}