{
  "abstract": "Let $X$ be the Cartwright--Steger surface with its real involution $c$ and Albanese map $α:X\\to E$, and put $Y=X/\\langle c\\rangle$. Every smooth real Albanese fiber has two ovals and is nondividing. The branch surface $B\\cong\\#_3\\mathbb{RP}^2$ satisfies $j_*π_1(B)=4\\mathbb Z\\subsetπ_1(Y)\\cong\\mathbb Z$ and is nullhomologous modulo two. Every smoothly embedded $+1$-sphere representing the positive generator of $H_2(Y;\\mathbb Z)$ meets $B$ in at least six points. Its lift has square two, pairs trivially with $K_X$, and has no connected embedded representative of genus zero or one. Circle surgery on an Albanese generator is homeomorphic to $\\mathbb{CP}^2$ for either normal framing. Blowing down a positive sphere, if one exists, gives a $\\mathbb Z[\\mathbb Z]$-homology $S^1\\times S^3$ homotopy equivalent to $S^1\\times S^3$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04460",
  "author_total": 2,
  "authors": [
    {
      "name": "Anar Akhmedov"
    },
    {
      "name": "Sai-Kee Yeung"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/a72sryvqtwfjr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04460",
  "fulltext_url": null,
  "id": "a72sryvqtwfjr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04460",
  "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.AT"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7220654228",
  "pdf_url": "https://arxiv.org/pdf/2610.04460",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/a72sryvqtwfjr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04460",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04460"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The Real Albanese Map and Smooth Topology of the Cartwright--Steger Quotient",
  "title_text": "The Real Albanese Map and Smooth Topology of the Cartwright--Steger Quotient",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/a72sryvqtwfjr",
  "venue": "arXiv",
  "versions": []
}