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arxiv: math/0412489 · v1 · pith:VG4FLSRGnew · submitted 2004-12-24 · 🧮 math.GT

Brunnian local moves of knots and Vassiliev invariants

classification 🧮 math.GT
keywords brunnianconditioninvariantsknotslocalmovetermsvassiliev
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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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