{
  "abstract": "We prove the all-genus open mirror symmetry of a toric Calabi-Yau 3-orbifold where the boundary condition is given by multiple Aganagic-Vafa branes. Each brane could be either inner or outer, and admit a fractional framing. The B-model is given by the Chekhov-Eynard-Orantin topological recursion expanded in local coordinates specified by the brane data.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.12955",
  "author_total": 4,
  "authors": [
    {
      "name": "Bohan Fang"
    },
    {
      "name": "Chiu-Chu Melissa Liu"
    },
    {
      "name": "Song Yu"
    },
    {
      "name": "Zhengyu Zong"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7vq3da8tdf4v4.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.12955",
  "fulltext_url": null,
  "id": "7vq3da8tdf4v4",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.12955",
  "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",
      "3106|Black Holes and Theoretical Physics"
    ]
  ],
  "openalex": "W7212643230",
  "pdf_url": "https://arxiv.org/pdf/2609.12955",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7vq3da8tdf4v4.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:11Z",
      "native_id": "2609.12955",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.12955"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    }
  ],
  "title": "All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes",
  "title_text": "All-Genus Open Mirror Symmetry for Toric Calabi-Yau 3-Orbifolds with Multiple Branes",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:11Z",
  "url": "https://research.draconitic.com/paper/7vq3da8tdf4v4",
  "venue": "arXiv",
  "versions": []
}