{
  "abstract": "We establish Iritani's integral form of the $\\mathbb{C}^\\times$-equivariant Crepant Transformation Conjecture (CTC) for the minimal resolution of the surface singularity $\\mathbb{C}^2/\\mathbb{BD}_{4n}$, where $\\mathbb{BD}_{4n}$ is the binary dihedral group of order $4n$. We then use Givental's quantisation formalism to prove the all-genus full-descendent CTC in that case. As an application, we deduce the Bryan-Cadman-Young degree-zero form of the orbifold Gromov-Witten/Donaldson-Thomas correspondence for the Calabi-Yau 3-orbifold $[\\mathbb{C}^2/\\mathbb{BD}_{4n}] \\times \\mathbb{C}$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22359",
  "author_total": 2,
  "authors": [
    {
      "name": "Andrea Brini"
    },
    {
      "name": "Jingxiang Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/e9v7hsm1p7tk2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22359",
  "fulltext_url": null,
  "id": "e9v7hsm1p7tk2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22359",
  "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",
      "hep-th"
    ],
    [
      "arxiv",
      "math.AG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.22359",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/e9v7hsm1p7tk2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.22359",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22359"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "physics",
      "origin": "arxiv:hep-th",
      "subfield": "high-energy"
    }
  ],
  "title": "Integral and higher-genus quantum McKay correspondence in type D",
  "title_text": "Integral and higher-genus quantum McKay correspondence in type D",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/e9v7hsm1p7tk2",
  "venue": "arXiv",
  "versions": []
}