{
  "id": "1907.06524",
  "version": "v1",
  "published": "2019-07-15T14:39:02.000Z",
  "updated": "2019-07-15T14:39:02.000Z",
  "title": "0-Concordance of 2-knots",
  "authors": [
    "Nathan Sunukjian"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this paper we investigate the 0-concordance classes of 2-knots in $S^4$, an equivalence relation that is related to understanding smooth structures on 4-manifolds. Using Rochlin's invariant, and invariants arising from Heegaard-Floer homology, we will prove that there are infinitely many 0-concordance classes of 2-knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-07-15T14:39:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "equivalence relation",
      "understanding smooth structures",
      "rochlins invariant",
      "heegaard-floer homology"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}