Braid commutators and Vassiliev invariants

Ted Stanford

Vol. 174 (1996), No. 1, 269–276

DOI: 10.2140/pjm.1996.174.269

Abstract

We establish a relationship between Vassiliev invariants and the lower central series of the pure braid group, and we use this to construct infinite families of prime knots or links whose invariants match those of a given knot or link up to a given order.

Mathematical Subject Classification 2000

Primary: 57M25

Secondary: 20F36

Milestones

Received: 10 August 1993

Published: 1 May 1996