{
  "abstract": "We use a particular nodal curve on the Cartwright-Steger surface to construct minimal symplectic four-manifolds with arbitrary nontrivial finite cyclic fundamental group and fixed topological invariants $(e,σ,χ_h,c_1^2)=(43,1,11,89)$. Using these symplectic four-manifolds as building blocks, we construct a symplectic 4-manifold that is homeomorphic to $(22m-1)\\mathbb{CP}^2\\#(21m-1)\\overline{\\mathbb{CP}}^{\\,2}$ for any integer $m\\geq 2$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.23711",
  "author_total": 4,
  "authors": [
    {
      "name": "Anar Akhmedov"
    },
    {
      "name": "B. Doug Park"
    },
    {
      "name": "Sümeyra Sakallı"
    },
    {
      "name": "Sai-Kee Yeung"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ep0t2nzwnb9mp.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.23711",
  "fulltext_url": null,
  "id": "ep0t2nzwnb9mp",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.23711",
  "language": null,
  "licence": "CC-BY-SA-4.0",
  "licence_label": "CC BY-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AG"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.SG"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7222965596",
  "pdf_url": "https://arxiv.org/pdf/2610.23711",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ep0t2nzwnb9mp.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.23711",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.23711"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AG",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Finite Cyclic Fundamental Groups and Exotic Universal Covers from the Cartwright--Steger Surface",
  "title_text": "Finite Cyclic Fundamental Groups and Exotic Universal Covers from the Cartwright--Steger Surface",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/ep0t2nzwnb9mp",
  "venue": "arXiv",
  "versions": []
}