{
  "id": "2311.12168",
  "version": "v1",
  "published": "2023-11-20T20:34:22.000Z",
  "updated": "2023-11-20T20:34:22.000Z",
  "title": "Slice knots and knot concordance",
  "authors": [
    "Arunima Ray"
  ],
  "comment": "29 pages, 12 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "These notes were prepared to accompany a sequence of three lectures at the conference Winterbraids XI in Dijon, held in December 2021. In them, we provide an introduction to slice knots and the equivalence relation of concordance. We explain some connections between slice knots and exotic smooth structures on $\\mathbb{R}^4$. We also introduce filtrations of the knot concordance groups and satellite operations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-11-20T20:34:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10",
      "57N70",
      "57R40"
    ],
    "keywords": [
      "slice knots",
      "conference winterbraids xi",
      "exotic smooth structures",
      "knot concordance groups",
      "equivalence relation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}