Ordering the Reidemeister moves of a classical knot

Recent Issues

The Journal

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Algebraic & Geometric Topology 6 (2006) 659–671

DOI: 10.2140/agt.2006.6.659

We show that any two diagrams of the same knot or link are connected by a sequence of Reidemeister moves which are sorted by type.

knot diagram, Reidemeister move

Primary: 57M25

Secondary: 57M27

Received: 8 June 2005

Revised: 13 April 2006

Accepted: 17 April 2006

Published: 18 May 2006

Alexander Coward
Mathematical Institute 24-29 St Giles’ Oxford OX1 3LB UK