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Brunnian local moves of knots and Vassiliev invariants

Akira Yasuhara (2006)

Fundamenta Mathematicae

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.

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