Brunnian local moves of knots and Vassiliev invariants
Volume 190 / 2006
Fundamenta Mathematicae 190 (2006), 289-297
MSC: Primary 57M25.
DOI: 10.4064/fm190-0-11
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.
