Brunnian local moves of knots and Vassiliev invariants

Akira Yasuhara¹
Fund. Math. 190 (2006), 289-297

Abstract: 
K. Habiro gave a neccesary and sufficient condition for knots to have the same Vassiliev invariants in terms of $C_k$-moves. In this paper we give another geometric condition in terms of Brunnian local moves. The proof is simple and self-contained.

MSC (2000): Primary 57M25.
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Department of Mathematics
Tokyo Gakugei University
Nukuikita 4-1-1, Koganei, Tokyo 184-8501, Japan