{
  "abstract": "We construct the first examples of contact $3$-manifolds admitting infinitely many pairwise non-homeomorphic Stein fillings which are rational homology balls. Our examples are planar. They are obtained by a simple modification of Baykur's recent planar contact $3$-manifold $(Y,ξ)$ with infinitely many pairwise non-homeomorphic Stein fillings, and the fillings are distinguished by their fundamental groups. For one of these rational homology balls we give an explicit Kirby diagram, with a single $1$-handle and a single $2$-handle attached along a trefoil, which exhibits its boundary as $(0,-8)$-surgery on a two-component link. We also identify the smooth topology of Baykur's example: $Y$ is obtained by $(0,-8)$-surgery on the link $7^2_4$, and it is Seifert fibered over the Klein bottle with one exceptional fiber. Finally, we construct further Stein fillings of $(Y,ξ)$, which realize all the groups $\\mathbb Z/m\\rtimes_{-1}\\mathbb Z$, $m\\ge0$, as their fundamental groups.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34381",
  "author_total": 1,
  "authors": [
    {
      "name": "Burak Ozbagci"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ay042esrbcjcw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34381",
  "fulltext_url": null,
  "id": "ay042esrbcjcw",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.34381",
  "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"
    ]
  ],
  "openalex": "W7224009197",
  "pdf_url": "https://arxiv.org/pdf/2610.34381",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ay042esrbcjcw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:40Z",
      "native_id": "2610.34381",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34381"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Contact 3-manifolds with infinitely many rational homology ball Stein fillings",
  "title_text": "Contact 3-manifolds with infinitely many rational homology ball Stein fillings",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/ay042esrbcjcw",
  "venue": "arXiv",
  "versions": []
}