{
  "id": "1104.1265",
  "version": "v4",
  "published": "2011-04-07T08:07:48.000Z",
  "updated": "2013-11-11T04:14:38.000Z",
  "title": "Invariant laminations for irreducible automorphisms of free groups",
  "authors": [
    "Ilya Kapovich",
    "Martin Lustig"
  ],
  "comment": "Revised version as goes to the journal (Quat.Oxford) for printing. An alternative version with a slightly different proof technique will be replacing this version in a few days",
  "categories": [
    "math.GR"
  ],
  "abstract": "For every atoroidal iwip automorphism $\\phi$ of $F_N$ (i.e. the analogue of a pseudo-Anosov mapping class) it is shown that the algebraic lamination dual to the forward limit tree $T_+(\\phi)$ is obtained as \"diagonal closure\" of the support of the backward limit current $\\mu_-(\\phi)$. This diagonal closure is obtained through a finite procedure in analogy to adding diagonal leaves from the complementary components to the stable lamination of a pseudo-Anosov homeomorphism. We also give several new characterizations as well as a structure theorem for the dual lamination of $T_+(\\phi)$, in terms of Bestvina-Feighn-Handel's \"stable lamination\" associated to $\\phi$.",
  "revisions": [
    {
      "version": "v4",
      "updated": "2013-11-11T04:14:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "free groups",
      "invariant laminations",
      "irreducible automorphisms",
      "diagonal closure",
      "atoroidal iwip automorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.1265K"
    }
  }
}