{
  "id": "1611.07656",
  "version": "v1",
  "published": "2016-11-23T06:38:47.000Z",
  "updated": "2016-11-23T06:38:47.000Z",
  "title": "Polynomial splittings of correction terms and doubly slice knots",
  "authors": [
    "Se-Goo Kim",
    "Taehee Kim"
  ],
  "comment": "8 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that if the connected sum of two knots with coprime Alexander polynomials is doubly slice, then the Ozsv\\'ath-Szab\\'o correction terms as smooth double sliceness obstructions vanish for both knots. Recently, Jeffrey Meier gave smoothly slice knots that are topologically doubly slice, but not smoothly doubly slice. As an application, we give a new example of such knots that is distinct from Meier's knots modulo doubly slice knots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-11-23T06:38:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57N70"
    ],
    "keywords": [
      "correction terms",
      "polynomial splittings",
      "gave smoothly slice knots",
      "knots modulo doubly slice",
      "meier gave smoothly slice"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}