{
  "abstract": "We construct new families of complete Calabi-Yau metrics with maximal volume growth on the small resolutions of the conifold $\\mathcal{Z} = \\{z_1^2 + z_2^2 + z_3^2 + z_4^2 = 0\\} \\subset \\mathbb{C}^4$. These metrics have tangent cone $\\mathbb{C} \\times (\\mathbb{C}^2 / \\mathbb{Z}_2)$ at infinity and are parametrised by their Kähler class. As the Kähler class degenerates, the metrics converge in the pointed Gromov-Hausdorff sense to a Calabi-Yau metric on $\\mathcal{Z}$ with an isolated conical singularity modelled on the Stenzel metric at the ordinary double point and tangent cone at infinity $\\mathbb{C} \\times (\\mathbb{C}^2/\\mathbb{Z}_2)$, thereby providing a new metric realisation of the Atiyah flop.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08978",
  "author_total": 2,
  "authors": [
    {
      "name": "Thibault Langlais"
    },
    {
      "name": "Viktor F. Majewski"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b45871mqz2m4m.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08978",
  "fulltext_url": null,
  "id": "b45871mqz2m4m",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.08978",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CV"
    ],
    [
      "arxiv",
      "math.DG"
    ],
    [
      "openalex",
      "2608|Geometry and complex manifolds"
    ]
  ],
  "openalex": "W7212025434",
  "pdf_url": "https://arxiv.org/pdf/2609.08978",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b45871mqz2m4m.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:20:01Z",
      "native_id": "2609.08978",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08978"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CV",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Degenerations of exotic Calabi-Yau metrics through Atiyah's flop",
  "title_text": "Degenerations of exotic Calabi-Yau metrics through Atiyah's flop",
  "type": "preprint",
  "updated_at": "2026-10-30T12:20:01Z",
  "url": "https://research.draconitic.com/paper/b45871mqz2m4m",
  "venue": "arXiv",
  "versions": []
}