Brunnian local moves of knots and Vassiliev invariants

Mathematics – Geometric Topology

Scientific paper

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Scientific paper

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

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