{
  "abstract": "We compute quintic Gopakumar-Vafa invariants for genera 2-83 and degrees up to 44 by integrating the holomorphic anomaly equations. Under rank-one modularity for the required Gieseker invariants and rank-two charge conjugation, a coupled system of boundary and surplus wall-crossing equations fixes the holomorphic ambiguities and 22 of the 36 polar rank-two D4-D2-D0 coefficients, without assuming any rank-two index. A computer-assisted extension of wall crossing supplies additional equations and the boundary datum needed to close the recursion through genus 83. With known low-genus input, the GV data are complete through degree 32 and yield PT and DT tables. Selected higher-genus wall-crossing invariants reach genus 216; 33 entries require additional hypotheses. Retrospectively selected extrapolations give conditional candidates at genera 84 and 85 and, with rank-two mock modularity, for the remaining polar coefficients.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.38473",
  "author_total": 1,
  "authors": [
    {
      "name": "Michael Hecht"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6ft36b3gv7p8f.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.38473",
  "fulltext_url": null,
  "id": "6ft36b3gv7p8f",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.38473",
  "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",
      "hep-th"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.38473",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6ft36b3gv7p8f.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.38473",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.38473"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "The Topological String on the Quintic to Genus 83 and the Rank-Two D4-D2-D0 Indices",
  "title_text": "The Topological String on the Quintic to Genus 83 and the Rank-Two D4-D2-D0 Indices",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:50Z",
  "url": "https://research.draconitic.com/paper/6ft36b3gv7p8f",
  "venue": "arXiv",
  "versions": []
}