# Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

## Brunnian local moves of knots and Vassiliev invariants

### Tom 190 / 2006

Fundamenta Mathematicae 190 (2006), 289-297 MSC: Primary 57M25. DOI: 10.4064/fm190-0-11

#### Streszczenie

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.