{
  "id": "1805.07704",
  "version": "v1",
  "published": "2018-05-20T05:00:39.000Z",
  "updated": "2018-05-20T05:00:39.000Z",
  "title": "A note on the writhe polynomial and the virtual crossing number",
  "authors": [
    "Zhiyun Cheng"
  ],
  "comment": "8 pages, 6 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "In this note we give a new lower bound on the virtual crossing number via the writhe polynomial, which refines a result of B. Mellor. The proof is based on a new interpretation of the writhe polynomial. The characterization of the writhe polynomial is also discussed.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-20T05:00:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27"
    ],
    "keywords": [
      "writhe polynomial",
      "virtual crossing number",
      "lower bound",
      "interpretation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}