{
  "id": "math/9804028",
  "version": "v1",
  "published": "1998-04-06T20:15:24.000Z",
  "updated": "1998-04-06T20:15:24.000Z",
  "title": "Studying surfaces via closed braids",
  "authors": [
    "Joan S. Birman",
    "Elizabeth Finkelstein"
  ],
  "comment": "61 pages",
  "journal": "Jnl Knot Th 7, No.3 (1998), 267-334",
  "categories": [
    "math.GT"
  ],
  "abstract": "This is a review article on the Bennequin-Birman-Menasco machinery for studying embedded incompressible surfaces in 3-space via their `braid foliations'. Two cases are investigated: case (1) The surface has non-empty boundary; the boundary is a knot or link which is represented as a closed braid, Case (2) The surface is closed, but it lies in the complement of a knot or link which is represented as a closed braid. The main results in the area are established with full proofs, in a systematic fashion, with an eye toward making them accessible to the beginning reader. There are some new contributions, described in detail in the introduction.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-04-06T20:15:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M50"
    ],
    "keywords": [
      "closed braid",
      "studying surfaces",
      "bennequin-birman-menasco machinery",
      "systematic fashion",
      "review article"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 61,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......4028B"
    }
  }
}