ON NON-SELF LOCAL MOVES

  • YASUTAKA NAKANISHI
    Department of Mathematics, Kobe University, Rokko, Nada-ku, Kobe 657-8501, Japan
  • TETSUO SHIBUYA
    Department of Mathematics, Osaka Institute of Technology, Asahi-ku, Osaka 535-8585, Japan
  • TATSUYA TSUKAMOTO
    Department of Mathematics, Osaka Institute of Technology, Asahi-ku, Osaka 535-8585, Japan
  • AKIRA YASUHARA
    Department of Mathematics, Tokyo Gakugei University, Koganeishi, Tokyo 184-8501, Japan

書誌事項

公開日
2012-04
資源種別
journal article
DOI
  • 10.1142/s0218216511010097
公開者
World Scientific Pub Co Pte Lt

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説明

<jats:p> Gusarov and Habiro introduced a C<jats:sub>m</jats:sub> move, that is strongly related to Vassiliev invariants. In this note, we study a special kind of C<jats:sub>m</jats:sub> move, called a non-self C<jats:sub>m</jats:sub> move. We show that two links can be transformed into each other by a finite sequence of non-self C<jats:sub>m</jats:sub> moves if and only if (1) the two links can be transformed into each other by a finite sequence of C<jats:sub>m</jats:sub> moves, and (2) the knot types of corresponding components coincide. </jats:p>

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