{
  "id": "math/9806035",
  "version": "v1",
  "published": "1998-06-08T14:29:09.000Z",
  "updated": "1998-06-08T14:29:09.000Z",
  "title": "The Gassner representation for string links",
  "authors": [
    "P. Kirk",
    "C. Livingston",
    "Z. Wang"
  ],
  "comment": "56 pages, 11 figures, Latex file",
  "journal": "Comm. Cont. Math. 3 (2001), 87-136.",
  "categories": [
    "math.GT"
  ],
  "abstract": "The Gassner representation of the pure braid group to $GL_n(Z[Z^n])$ can be extended to give a representation of the concordance group of $n$-strand string links to $GL_n(F)$, where $F$ is the field of quotients of $\\zz[\\zz^n]$, $ F = Q(t_1,...,t_n)$; this was first observed by Le Dimet. Here we present simple new perspectives on its definition, its computation, and its applications to obtain both general results and interesting family of examples.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1998-06-08T14:29:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gassner representation",
      "pure braid group",
      "concordance group",
      "strand string links",
      "general results"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 56,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......6035K"
    }
  }
}