{
  "id": "2308.02275",
  "version": "v1",
  "published": "2023-08-04T12:00:51.000Z",
  "updated": "2023-08-04T12:00:51.000Z",
  "title": "On the signature of a positive braid",
  "authors": [
    "Joshua Evan Greene",
    "Livio Liechti"
  ],
  "comment": "14 pages, 1 figure",
  "categories": [
    "math.GT"
  ],
  "abstract": "We show that the signature of a positive braid link is bounded from below by a quarter of its first Betti number.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-04T12:00:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57K10"
    ],
    "keywords": [
      "first betti number",
      "positive braid link"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}