{
  "id": "2312.02058",
  "version": "v1",
  "published": "2023-12-04T17:17:13.000Z",
  "updated": "2023-12-04T17:17:13.000Z",
  "title": "Solvability of concordance groups and Milnor invariants",
  "authors": [
    "Alessio Di Prisa",
    "Giovanni Framba"
  ],
  "comment": "13 pages, 3 figures. Comments are welcome!",
  "categories": [
    "math.GT"
  ],
  "abstract": "Using Milnor invariants, we prove that the concordance group $\\mathcal{C}(2)$ of $2$-string links is not solvable. As a consequence we prove that the equivariant concordance group of strongly invertible knots is also not solvable, and we answer a conjecture posed by Kuzbary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-12-04T17:17:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "milnor invariants",
      "solvability",
      "equivariant concordance group",
      "string links"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}