{
  "id": "math/0407403",
  "version": "v1",
  "published": "2004-07-23T15:06:53.000Z",
  "updated": "2004-07-23T15:06:53.000Z",
  "title": "Erratum: Studying Links via Closed Braids IV: Composite Links and Split Links",
  "authors": [
    "Joan S. Birman",
    "William W. Menasco"
  ],
  "comment": "6 pages, 4 figures. This is an Erratum to \"Studying Links Vai Closed Braids IV: Composite Links and Split Links\", Inventiones Math., 102 Facs. 1 (190), 115-139",
  "doi": "10.1007/s00222-004-0402-3",
  "categories": [
    "math.GT",
    "math.GR"
  ],
  "abstract": "The purpose of this erratum is to fill a gap in the proof of the `Composite Braid Theorem' in the manuscript \"Studying Links Via Closed Braids IV: Composite Links and Split Links (SLVCB-IV)\", Inventiones Math, \\{bf 102\\} Fasc. 1 (1990), 115-139. The statement of the theorem is unchanged. The gap occurs on page 135, lines $13^-$ to $11^-$, where we fail to consider the case: $V_2 = 4, V_4 > 0, V_j=0$ if $j not= 2,4,$ and all 4 vertices of valence 2 are bad. At the end of this Erratum we make some brief remarks on the literature, as it has evolved during the 14 years between the publication of SLVCB-IV and the submission of this Erratum.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-07-23T15:06:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "57M25",
      "57M07",
      "20F36"
    ],
    "keywords": [
      "composite links",
      "split links",
      "closed braids",
      "studying links",
      "composite braid theorem"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Inventiones Mathematicae",
      "year": 2005,
      "month": "Jan",
      "volume": 160,
      "number": 2,
      "pages": 447
    },
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005InMat.160..447B"
    }
  }
}