{
  "abstract": "The $Δ$-unknotting number for a knot is defined as the minimum number of $Δ$-moves needed to deform the knot into the trivial knot. In this paper, we discuss Montesinos knots whose $Δ$-unknotting number is equal to one. We propose a conjectural characterization of Montesinos knots with $Δ$-unknotting number one and provide examples admitting distinct $Δ$-moves, each of which deforms the knot into the trivial knot.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.39565",
  "author_total": 1,
  "authors": [
    {
      "name": "Kazumichi Nakamura"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/an3drm20m4vtb.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39565",
  "fulltext_url": null,
  "id": "an3drm20m4vtb",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.39565",
  "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": "W7215114248",
  "pdf_url": "https://arxiv.org/pdf/2609.39565",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/an3drm20m4vtb.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:49Z",
      "native_id": "2609.39565",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39565"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Montesinos Knots with Delta-Unknotting Number One",
  "title_text": "Montesinos Knots with Delta-Unknotting Number One",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:49Z",
  "url": "https://research.draconitic.com/paper/an3drm20m4vtb",
  "venue": "arXiv",
  "versions": []
}