{
  "id": "2404.12122",
  "version": "v1",
  "published": "2024-04-18T12:20:32.000Z",
  "updated": "2024-04-18T12:20:32.000Z",
  "title": "Combinatorial cusp count and clover invariants",
  "authors": [
    "Sebastian Baader",
    "Masaharu Ishikawa"
  ],
  "comment": "10 pages, 2 figures, comments welcome!",
  "categories": [
    "math.GT"
  ],
  "abstract": "We construct efficient topological cobordisms between torus links and large connected sums of trefoil knots. As an application, we show that the signature invariant $\\sigma_\\omega$ at $\\omega=\\zeta_6$ takes essentially minimal values on torus links among all concordance homomorphisms with the same normalisation on the trefoil knot.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-04-18T12:20:32.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10",
      "14B05"
    ],
    "keywords": [
      "combinatorial cusp count",
      "clover invariants",
      "trefoil knot",
      "torus links",
      "construct efficient topological cobordisms"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}