Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Threading knot diagrams

H. R. Mortona1

a1 Department of Pure Mathematics, University of Liverpool L69 3BX

Alexander [1] showed that an oriented link K in S3 can always be represented as a closed braid. Later Markov [5] described (without full details) how any two such representations of K are related. In her book [3], Birman gives an extensive description, with a detailed combinatorial proof of both these results.

(Received February 15 1985)

(Revised July 11 1985)