{
  "abstract": "We use Virasoro constraints to prove Eynard's intersection-number formula for Eynard-Orantin topological recursion with several simple ramification points. The key construction couples the higher Weil-Petersson partition functions associated with the individual ramification points through a quadratic differential operator determined by the Bergman kernel. We identify this operator with the quadratic part of Givental's quantized $R$-matrix, thereby obtaining a Virasoro-theoretic proof of the DOSS identification of topological recursion with Givental's formula for semisimple cohomological field theories. Furthermore, while the DOSS identification fixes the distinguished $y$-function, we keep the Bergman kernel/$R$-matrix fixed and allow $y$ to vary, showing that this amounts to shifting the evaluation point of the corresponding ancestor potential.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.24980",
  "author_total": 2,
  "authors": [
    {
      "name": "Dingkang Xiong"
    },
    {
      "name": "Jian Zhou"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0e4q6j8dm19pv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.24980",
  "fulltext_url": null,
  "id": "0e4q6j8dm19pv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.24980",
  "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.AG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7223014442",
  "pdf_url": "https://arxiv.org/pdf/2610.24980",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-18",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0e4q6j8dm19pv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.24980",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.24980"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Eynard-Orantin Topological Recursion, Moduli-Space Virasoro Constraints, and Semisimple CohFTs",
  "title_text": "Eynard-Orantin Topological Recursion, Moduli-Space Virasoro Constraints, and Semisimple CohFTs",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:44Z",
  "url": "https://research.draconitic.com/paper/0e4q6j8dm19pv",
  "venue": "arXiv",
  "versions": []
}