{
  "abstract": "We construct a Topological Quantum Field Theory (TQFT) that computes the virtual classes of $G$-representation varieties associated with the fundamental group of a torus link complement. Following the framework established by González-Prieto, Logares and Muñoz for $G$-representation varieties of surface groups, we introduce a suitable bordism whose iteration enables a recursive topological evaluation of these virtual classes. Via this TQFT, we explicitly compute the virtual class of these varieties for the groups $G=\\mathrm{AGL}_1(\\mathbb{C})$ and $G=\\mathrm{SL}_2(\\mathbb{C})$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23644",
  "author_total": 2,
  "authors": [
    {
      "name": "Enrique Aycart-Maldonado"
    },
    {
      "name": "Alejandro Calleja"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1mnd7vezyt4x0.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23644",
  "fulltext_url": null,
  "id": "1mnd7vezyt4x0",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23644",
  "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.AG"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7222964131",
  "pdf_url": "https://arxiv.org/pdf/2610.23644",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1mnd7vezyt4x0.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23644",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23644"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "A Topological Quantum Field Theory for Representation Varieties of Torus Links",
  "title_text": "A Topological Quantum Field Theory for Representation Varieties of Torus Links",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/1mnd7vezyt4x0",
  "venue": "arXiv",
  "versions": []
}