{
  "abstract": "We construct Stein fillings diffeomorphic to complements of a connected symplectic unbranched multisection and a regular sphere fiber in the ruled surface $Σ_g\\times S^2$. For every $g\\geq2$ and every multisection degree $p\\geq4$, a fixed contact three-manifold admits infinitely many pairwise nonhomeomorphic aspherical fillings of this form. Their first and second integral homology groups are $\\Z^{2g}\\oplus\\Z/p$ and $\\Z^{(2g-1)(p-1)}$, respectively, and their intersection pairings vanish. We vary the braid monodromy while preserving the marked contact boundary. Unbounded torsion orders in the first homology of regular unbranched covers of degree $p2^{p-1}$ detect infinitely many isomorphism types of fundamental groups. We also give an equivariant Weinstein handle construction for the cyclic filling $W_{g,4}$. The contact boundaries are supported by spinal open books with planar pages and have positive ordinary support genus.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01833",
  "author_total": 1,
  "authors": [
    {
      "name": "Anar Akhmedov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2sdep3rnpkbjj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01833",
  "fulltext_url": null,
  "id": "2sdep3rnpkbjj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01833",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
    ],
    [
      "arxiv",
      "math.SG"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01833",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2sdep3rnpkbjj.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01833",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01833"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Braided Multisections and Aspherical Stein Fillings",
  "title_text": "Braided Multisections and Aspherical Stein Fillings",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/2sdep3rnpkbjj",
  "venue": "arXiv",
  "versions": []
}