• Title of article

    Inequivalent surface-knots with the same knot quandle

  • Author/Authors

    Tanaka، نويسنده , , Kokoro، نويسنده ,

  • Issue Information
    دوماهنامه با شماره پیاپی سال 2007
  • Pages
    7
  • From page
    2757
  • To page
    2763
  • Abstract
    We have a knot quandle and a fundamental class as invariants for a surface-knot. These invariants can be defined for a classical knot in a similar way, and it is known that the pair of them is a complete invariant for classical knots. In surface-knot theory the situation is different: There exist arbitrarily many inequivalent surface-knots of genus g with the same knot quandle, and there exist two inequivalent surface-knots of genus g with the same knot quandle and with the same fundamental class.
  • Keywords
    Knot quandle , Surface-knot , Quandle , Fundamental class
  • Journal title
    Topology and its Applications
  • Serial Year
    2007
  • Journal title
    Topology and its Applications
  • Record number

    1581454