{
  "abstract": "The first examples of asymmetric L-space knots were found by Baker and Luecke. Among Baker-Luecke knots, the simplest one has braid index 12. Later, it turned out that there are just 9 asymmetric hyperbolic L-space knots in the SnapPy census, and their braid indices take the values 4, 5, 6 and 7. It is known that asymmetric L-space knots have braid index at least 4. Recently, Baker and the second author give infinitely many asymmetric hyperbolic L-space knots with braid index 4. In this paper, we construct an asymmetric hyperbolic L-space knot with arbitrary braid index bigger than 4. In fact, there exist infinitely many such knots for each braid index.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.28917",
  "author_total": 2,
  "authors": [
    {
      "name": "Keisuke Himeno"
    },
    {
      "name": "Masakazu Teragaito"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/85wawf8gyycp2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.28917",
  "fulltext_url": null,
  "id": "85wawf8gyycp2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.28917",
  "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": "W7214359177",
  "pdf_url": "https://arxiv.org/pdf/2609.28917",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/85wawf8gyycp2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2609.28917",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.28917"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "Asymmetric L-space knots with arbitrary braid index",
  "title_text": "Asymmetric L-space knots with arbitrary braid index",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/85wawf8gyycp2",
  "venue": "arXiv",
  "versions": []
}