{
  "abstract": "We compute Gromov--Witten (GW) and Donaldson-Thomas (DT) invariants (including descendant invariants) for local CY $4$-folds over a smooth quadric threefold $Q$, up to degree $4$. We use the virtual localization formula with respect to a two-dimensional torus action to compute DT invariants. Combining these results with the computation of the J-function of the variety $Q$, we confirm the correspondence between DT and Gopakumar--Vafa invariants suggested by Cao--Maulik--Toda in genus zero. Based on these results, we predict a genus one BPS invariant on $Q$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.17964",
  "author_total": 2,
  "authors": [
    {
      "name": "Kiryong Chung"
    },
    {
      "name": "Sanghyeon Lee"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dfkwa6zzr51yr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.17964",
  "fulltext_url": null,
  "id": "dfkwa6zzr51yr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.17964",
  "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"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7221780457",
  "pdf_url": "https://arxiv.org/pdf/2610.17964",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dfkwa6zzr51yr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:19Z",
      "native_id": "2610.17964",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.17964"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Two-Dimensional Torus Action on the Quadric Threefold and GW-DT-GV Correspondence",
  "title_text": "Two-Dimensional Torus Action on the Quadric Threefold and GW-DT-GV Correspondence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:19Z",
  "url": "https://research.draconitic.com/paper/dfkwa6zzr51yr",
  "venue": "arXiv",
  "versions": []
}