{
  "abstract": "Local mirror symmetry, originated from the work of Chiang-Klemm-Yau-Zaslow arXiv:9903053, indicated a potential relation between mirrors to a vector bundle and mirrors to its zero section. In this paper, we constructed a homological mirror to these local varieties and proved the corresponding Homological Mirror Symmetry statement. As an application, we constructed infinite families of exotic Weinstein sectors as mirrors to Hirzebruch surfaces.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07202",
  "author_total": 2,
  "authors": [
    {
      "name": "Si-Yang Liu"
    },
    {
      "name": "Kyungmin Rho"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1tcrwqkakxt9q.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07202",
  "fulltext_url": null,
  "id": "1tcrwqkakxt9q",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07202",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.SG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07202",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1tcrwqkakxt9q.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07202",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07202"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Local Homological Mirror Symmetry",
  "title_text": "Local Homological Mirror Symmetry",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:47Z",
  "url": "https://research.draconitic.com/paper/1tcrwqkakxt9q",
  "venue": "arXiv",
  "versions": []
}