{
  "abstract": "For a discrete group $G$, we construct an $(n+1)$-dimensional $G$-equivariant Alterfold topological quantum field theory from a $G$-equivariant $S^n$-algebra satisfying strong semisimplicity, complete finiteness, and Morita invariance. We use state sum on triangulation to define a partition function and prove that it is invariant under local surgery relations and is invariant under gauge transformations relative to the boundary. If the input is given a reflection-positive structure, the theory is unitary. For $n=2$ and input reconstructed from a strict faithful spherical $G$-fusion category, the restriction to ordinary $G$-cobordisms is naturally isomorphic to the Turaev--Virelizier state-sum HQFT \\cite{turaev20123}. A Tambara-Yamagami example recovers the Quon language \\cite{liu2017quon} as a $\\mathbb{Z}_2$-equivariant Alterfold TQFT.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.40041",
  "author_total": 2,
  "authors": [
    {
      "name": "Zixuan Feng"
    },
    {
      "name": "Zhengwei Liu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/64530xgytq0h0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.40041",
  "fulltext_url": null,
  "id": "64530xgytq0h0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.40041",
  "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-ph"
    ],
    [
      "arxiv",
      "math.CT"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.OA"
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      "arxiv",
      "math.QA"
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  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.40041",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/64530xgytq0h0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.40041",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.40041"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CT",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.OA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "G-equivariant Alterfold TQFT in any dimension",
  "title_text": "G-equivariant Alterfold TQFT in any dimension",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/64530xgytq0h0",
  "venue": "arXiv",
  "versions": []
}