{
  "abstract": "We construct closed symplectic 4-manifolds admitting the structure of hyperbolic $π$-orbifold, addressing LeBrun's conjecture. Our simplest example has Euler characteristic $304$, is tessellated by $64$ copies of the right-angled hyperbolic $120$-cell and admits a four-fold branched covering over a product of two surfaces of genus $4$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.15698",
  "author_total": 2,
  "authors": [
    {
      "name": "Francesco Lin"
    },
    {
      "name": "Bruno Martelli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/8ww36naa95k05.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.15698",
  "fulltext_url": null,
  "id": "8ww36naa95k05",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.15698",
  "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.GT"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
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  "openalex": "W7221834135",
  "pdf_url": "https://arxiv.org/pdf/2610.15698",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-11",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/8ww36naa95k05.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:15Z",
      "native_id": "2610.15698",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.15698"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Symplectic four-manifolds and hyperbolic $π$-orbifolds",
  "title_text": "Symplectic four-manifolds and hyperbolic π-orbifolds",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:15Z",
  "url": "https://research.draconitic.com/paper/8ww36naa95k05",
  "venue": "arXiv",
  "versions": []
}