{
  "id": "math/0511152",
  "version": "v1",
  "published": "2005-11-07T01:00:54.000Z",
  "updated": "2005-11-07T01:00:54.000Z",
  "title": "Seifert surfaces in open books, and a new coding algorithm for links",
  "authors": [
    "Rei Furihata",
    "Mikami Hirasawa",
    "Tsuyoshi Kobayashi"
  ],
  "comment": "10 pages",
  "doi": "10.1112/blms/bdn020",
  "categories": [
    "math.GT"
  ],
  "abstract": "We introduce a new standard form of a Seifert surface $F$. In that standard form, $F$ is obtained by successively plumbing flat annuli to a disk $D$, where the gluing regions are all in $D$. We show that any link has a Seifert surface in the standard form, and thereby present a new way of coding a link. We present an algorithm to read the code directly from a braid presentation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-11-07T01:00:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25"
    ],
    "keywords": [
      "seifert surface",
      "open books",
      "coding algorithm",
      "standard form",
      "successively plumbing flat annuli"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}