• Title of article

    Crossing matrices and Thurstonʹs normal form for braids

  • Author/Authors

    Burillo، نويسنده , , J. and Gutierrez، نويسنده , , M. and Krsti?، نويسنده , , S. and Nitecki، نويسنده , , Z.، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2002
  • Pages
    16
  • From page
    293
  • To page
    308
  • Abstract
    In this paper we study the relation between positive braids, their canonical normal forms and their crossing matrices. We characterize positive braids of canonical length at most 2 by their crossing matrices, but prove that for length 3 or larger this is no longer true. We characterize matrices which can be crossing matrices of braids with canonical length at most 2, answering a question by Elrifai and Morton.
  • Keywords
    Positive braids , Pure braids , Crossing matrices , Canonical forms
  • Journal title
    Topology and its Applications
  • Serial Year
    2002
  • Journal title
    Topology and its Applications
  • Record number

    1579834