{
  "abstract": "We prove the all-genus conifold gap conjecture for the Gromov--Witten (GW) theories of the quintic threefold, other smooth Fermat Calabi--Yau threefold hypersurfaces, and local $\\mathbb P^2$, as well as for the FJRW theories associated with these hypersurfaces. Our proof uses Mixed Spin P-field (MSP) theory and analogous master-space constructions. The central object is the \\emph{cone-vertex theory}. We express this theory as a translation of the point CohFT via a formal Laplace transform and prove a universal conifold gap theorem for the resulting translated theories. The master-space construction then transfers the gap from the cone-vertex theory to the GW and FJRW theories.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.13921",
  "author_total": 4,
  "authors": [
    {
      "name": "Huai-Liang Chang"
    },
    {
      "name": "Shuai Guo"
    },
    {
      "name": "Lei You"
    },
    {
      "name": "Huaigong Zhang"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/71rkva9xmd2tv.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.13921",
  "fulltext_url": null,
  "id": "71rkva9xmd2tv",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.13921",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2609.13921",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-12",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/71rkva9xmd2tv.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.13921",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.13921"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Conifold Gap for the Quintic Threefold",
  "title_text": "Conifold Gap for the Quintic Threefold",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/71rkva9xmd2tv",
  "venue": "arXiv",
  "versions": []
}