{
  "abstract": "We study the connection problem for the quantum differential equation of the Fano fourfold $X=\\PP_{Q^3}(\\OO\\oplus\\OO(1))$. The problem is to identify its canonical asymptotic solutions with exceptional objects and compute the associated Stokes data. We use exact Mellin--Bessel integral representations and uniform vector asymptotics on sectors wider than $π$, followed by analytic continuation that preserves the Gamma framing. Cohomological chiral symmetry and mutations of exceptional collections put all eight sections at a common phase. This proves Gamma conjecture II for $X$ and determines a full exceptional collection and its Stokes and central connection matrices at the unit Novikov point and a specified admissible phase. The chiral symmetry also gives a flat symmetric bilinear pairing, an orthogonality identity for the Stokes matrix, and an integral unipotent square root of the monodromy matrix for a full turn. We obtain explicit formulas for the connection data at the opposite phase; on the Gamma lattice, the half-turn acts by tensoring with a square root of the anticanonical bundle. The same spinor integral transform constructs two canonical Gamma sections for $\\PP_{Q^{2m+1}}(\\OO\\oplus\\OO(1))$, $m\\geq1$, at positive parameters with distinct spectrum. Their sectors have opening greater than $π$, and their leading constants are independent of the dimension.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.13331",
  "author_total": 1,
  "authors": [
    {
      "name": "Xiaobin Li"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dexsev79g0d5q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.13331",
  "fulltext_url": null,
  "id": "dexsev79g0d5q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.13331",
  "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": "W7221529319",
  "pdf_url": "https://arxiv.org/pdf/2610.13331",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-09",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dexsev79g0d5q.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:28:40Z",
      "native_id": "2610.13331",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.13331"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "Gamma conjecture II and explicit Stokes data for a quadric projective bundle",
  "title_text": "Gamma conjecture II and explicit Stokes data for a quadric projective bundle",
  "type": "preprint",
  "updated_at": "2026-10-30T12:28:40Z",
  "url": "https://research.draconitic.com/paper/dexsev79g0d5q",
  "venue": "arXiv",
  "versions": []
}