{
  "id": "2102.09116",
  "version": "v1",
  "published": "2021-02-18T02:24:07.000Z",
  "updated": "2021-02-18T02:24:07.000Z",
  "title": "Cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial",
  "authors": [
    "Tetsuya Ito"
  ],
  "comment": "6 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "We prove the cosmetic crossing conjecture for genus one knots with non-trivial Alexander polynomial. We also prove the conjecture for genus one knots with trivial Alexander polynomial, under some additional assumptions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-18T02:24:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "non-trivial alexander polynomial",
      "cosmetic crossing conjecture",
      "additional assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}