{
  "abstract": "We prove that, whenever the monodromy maps are fully-punctured, the finite quotients of a fibered hyperbolic $3$-manifold group detect the taut polynomials of the fibered faces of the Thurston norm ball, as well as the Teichmüller polynomials of suitable Dehn fillings. Toward this, we develop a general framework for the profinite invariance of twisted multivariable Alexander polynomials, which is of independent interest; we also prove that being fully-punctured and preserving transverse orientations are profinite properties of the monodromy maps. As an application, we identify specific one-cusped hyperbolic $3$-manifolds \\blue{whose fundamental groups} are profinitely rigid among $3$-manifold groups, by a strategy using normalized dilatations and the veering census; notably, the taut polynomials distinguish a pair of mapping tori sharing the fiber and the dilatation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2606.21039",
  "author_total": 4,
  "authors": [
    {
      "name": "Tamunonye Cheetham-West"
    },
    {
      "name": "Biao Ma"
    },
    {
      "name": "Jun Ueki"
    },
    {
      "name": "Youheng Yao"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2jwt104pndbtn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2606.21039",
  "fulltext_url": null,
  "id": "2jwt104pndbtn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2606.21039",
  "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.DS"
    ],
    [
      "arxiv",
      "math.GR"
    ],
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7165655727",
  "pdf_url": "https://arxiv.org/pdf/2606.21039",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2jwt104pndbtn.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:29Z",
      "native_id": "2606.21039",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2606.21039"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GR",
      "subfield": "algebra-number-theory"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups",
  "title_text": "Taut polynomials from finite quotients of fibered hyperbolic 3-manifold groups",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/2jwt104pndbtn",
  "venue": "arXiv",
  "versions": []
}