{
  "abstract": "We study cabling operations on braids, and characterize the matrices that can be realized as crossing matrices of reducible pure braids. We also use cabling to construct enhanced conjugacy invariants of braids.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.29486",
  "author_total": 2,
  "authors": [
    {
      "name": "Ayaka Shimizu"
    },
    {
      "name": "Yoshiro Yaguchi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2g1f5tayb9efd.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.29486",
  "fulltext_url": null,
  "id": "2g1f5tayb9efd",
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  "landing_url": "https://arxiv.org/abs/2608.29486",
  "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"
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    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
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  "openalex": "W7204868341",
  "pdf_url": "https://arxiv.org/pdf/2608.29486",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-28",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2g1f5tayb9efd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:17Z",
      "native_id": "2608.29486",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.29486"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Cabled braids and their crossing matrices",
  "title_text": "Cabled braids and their crossing matrices",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:17Z",
  "url": "https://research.draconitic.com/paper/2g1f5tayb9efd",
  "venue": "arXiv",
  "versions": []
}