Alexander polynomials of ribbon links

Jonathan A. Hillman

Abstract

We give a simple argument to show that every polynomial \(f \in \mathbb{Z}[t]\) such that \(f(1)=1\) is the Alexander polynomial of some ribbon 2-knot whose group is a 1-relator group, and we extend this result to links.

Keywords: Alexander polynomial. boundary link. knot. 1-relator group. ribbon.

AMS Subject Classification: Primary 57Q45.