On two-bridge ribbon knots

Abstract

We show that a two-bridge ribbon knot $K(m^2,mk\pm 1)$ with $m>k>0$ and $(m,k)=1$ admits a symmetric union presentation with partial knot which is a two-bridge knot $K(m,k)$. Similar descriptions for all the other two-bridge ribbon knots are also given.

19 pages, 18 figures