{
  "abstract": "Let $f:\\mathbb C^n\\to\\mathbb C$ be a homogeneous polynomial of degree $n$ with an isolated critical point at the origin. The Calabi--Yau/Landau--Ginzburg correspondence predicts a close relation between invariants of the Landau--Ginzburg orbifold $(\\mathbb C^n/\\mathbb Z_n,f)$ and those of the associated Calabi--Yau hypersurface $ X_f=\\{[z_1:\\cdots:z_n]\\in\\mathbb P^{n-1}:f(z_1,\\ldots,z_n)=0\\}. $ In this paper, we establish this correspondence for the genus-one B-model by constructing the Landau--Ginzburg genus-one B-model invariant intrinsically from the $f$-twisted Laplacian on $\\mathbb{C}^n/\\mathbb{Z}_n$ and proving that it agrees with the corresponding BCOV invariant of $X_f$ up to an additive constant depending only on the dimension.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.33984",
  "author_total": 2,
  "authors": [
    {
      "name": "Xinxing Tang"
    },
    {
      "name": "Junrong Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ejpvs85r9xyv3.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.33984",
  "fulltext_url": null,
  "id": "ejpvs85r9xyv3",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.33984",
  "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.DG"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.SP"
    ],
    [
      "openalex",
      "2608|Algebraic Geometry and Number Theory"
    ]
  ],
  "openalex": "W7223970685",
  "pdf_url": "https://arxiv.org/pdf/2610.33984",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ejpvs85r9xyv3.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.33984",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.33984"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "The Genus-One B-Model Calabi-Yau/Landau-Ginzburg Correspondence",
  "title_text": "The Genus-One B-Model Calabi-Yau/Landau-Ginzburg Correspondence",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/ejpvs85r9xyv3",
  "venue": "arXiv",
  "versions": []
}