{
  "abstract": "We study the Beliakova--Wehrli link $s$-invariant and Cavallo's link $τ$-invariant of coherently oriented cables. For knots satisfying extremal four-ball genus and maximal self-linking hypotheses, we establish bounds for the $s$-invariant of $(p,q)$-cables, where $p$ and $q$ are not necessarily coprime, and show that these bounds are sharp under certain conditions. For the $τ$-invariant, we prove analogous bounds for arbitrary companion knots and exact formulas whenever $τ(K)=\\pm g_4(K)\\ne 0$. Specializing to the coherently oriented cable links associated to an $n$-framed knot, we apply these bounds to the lasagna $s$-invariant of Ren and Willis. The resulting applications provide upper bounds for the lasagna $s$-invariant of knot traces and a criterion for distinguishing homeomorphic zero traces up to orientation-preserving diffeomorphism.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.31654",
  "author_total": 1,
  "authors": [
    {
      "name": "Aadhishwaran Bhuvaraghamoorthy"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/ega57mjt2qrrx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.31654",
  "fulltext_url": null,
  "id": "ega57mjt2qrrx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.31654",
  "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": "W7223345331",
  "pdf_url": "https://arxiv.org/pdf/2610.31654",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/ega57mjt2qrrx.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:38Z",
      "native_id": "2610.31654",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.31654"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.GT",
      "subfield": "geometry-topology"
    }
  ],
  "title": "On the Concordance Invariants of Cable Links",
  "title_text": "On the Concordance Invariants of Cable Links",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:38Z",
  "url": "https://research.draconitic.com/paper/ega57mjt2qrrx",
  "venue": "arXiv",
  "versions": []
}