{
  "id": "1512.08316",
  "version": "v1",
  "published": "2015-12-28T04:50:37.000Z",
  "updated": "2015-12-28T04:50:37.000Z",
  "title": "Simplicial volume of links from link diagrams",
  "authors": [
    "Oliver Dasbach",
    "Anastasiia Tsvietkova"
  ],
  "comment": "7 pages, 5 figures",
  "categories": [
    "math.GT"
  ],
  "abstract": "The hyperbolic volume of a link complement is known to be unchanged when a half-twist is added to a link diagram, and a suitable 3-punctured sphere is present in the complement. We generalize this to the simplicial volume of link complements by analyzing the corresponding toroidal decompositions. We then use it to prove a refined upper bound for the volume in terms of twists of various lengths for links.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-28T04:50:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M27",
      "57M50"
    ],
    "keywords": [
      "link diagram",
      "simplicial volume",
      "link complement",
      "hyperbolic volume",
      "corresponding toroidal decompositions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}