{
  "abstract": "Building on work of Kauffman--Saleur and earlier work of the second author, we derive a determinant formula for the Links--Gould polynomial of links. As an application, we prove a 20-year-old conjecture of Ishii: for any alternating link, the Links--Gould invariant is an alternating polynomial.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.18803",
  "author_total": 2,
  "authors": [
    {
      "name": "Matthew Harper"
    },
    {
      "name": "Ben-Michael Kohli"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3x53ce5q8ynaf.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.18803",
  "fulltext_url": null,
  "id": "3x53ce5q8ynaf",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.18803",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GT"
    ],
    [
      "openalex",
      "2608|Geometric and Algebraic Topology"
    ]
  ],
  "openalex": "W7221757014",
  "pdf_url": "https://arxiv.org/pdf/2610.18803",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-13",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3x53ce5q8ynaf.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:20Z",
      "native_id": "2610.18803",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.18803"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "The Links--Gould polynomial of an alternating link is alternating",
  "title_text": "The Links--Gould polynomial of an alternating link is alternating",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:20Z",
  "url": "https://research.draconitic.com/paper/3x53ce5q8ynaf",
  "venue": "arXiv",
  "versions": []
}