{
  "abstract": "We study relatively minimal Lefschetz fibrations over closed oriented surfaces whose monodromy extends over a fixed 3--dimensional handlebody. If $X$ is the total space and $\\ell$ is the number of critical points, we prove that $σ(X)=-\\ell$. Such fibrations with $\\ell>0$ exist precisely for fiber genus $g\\geq3$ and base genus $h\\geq2$, and one can take $\\ell=1$ for every such pair. We also show that hyperelliptic handlebody monodromy forces the fibration to be a surface bundle and that every meridian twist, separating or nonseparating, has commutator length two in the handlebody group for $g\\geq3$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05537",
  "author_total": 2,
  "authors": [
    {
      "name": "R. Inanc Baykur"
    },
    {
      "name": "Susumu Hirose"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/1yxgspbdcc355.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05537",
  "fulltext_url": null,
  "id": "1yxgspbdcc355",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.05537",
  "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.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7220726271",
  "pdf_url": "https://arxiv.org/pdf/2610.05537",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/1yxgspbdcc355.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05537",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05537"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Lefschetz fibrations with handlebody monodromy",
  "title_text": "Lefschetz fibrations with handlebody monodromy",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/1yxgspbdcc355",
  "venue": "arXiv",
  "versions": []
}