Self delta-equivalence of cobordant links

Abstract

Self $\Delta$-equivalence is an equivalence relation for links, which is stronger than the link-homotopy defined by J. Milnor. It is known that cobordant links are link-homotopic and that they are not necessarily self $\Delta$-equivalent. In this paper, we will give a sufficient condition for cobordant links to be self $\Delta$-equivalent.