Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Boundary links are self delta-equivalent to trivial links

TETSUO SHIBUYAa1 and AKIRA YASUHARAa2

a1 Department of Mathematics, Osaka Institute of Technology, Omiya 5-16-1, Asahi, Osaka 535-8585, Japan. email: shibuya@ge.oit.ac.jp

a2 Department of Mathematics, Tokyo Gakugei University, Nukuikita 4-1-1, Koganei, Tokyo 184-8501, Japan. email: yasuhara@u-gakugei.ac.jp

Abstract

Self Δ-equivalence is an equivalence relation for links, which is stronger than link-homotopy defined by J. W. Milnor. It was shown that any boundary link is link-homotopic to a trivial link by L. Cervantes and R. A. Fenn and by D. Dimovski independently. In this paper we will show that any boundary link is self Δ-equivalent to a trivial link.

(Received January 30 2006)

(Revised April 04 2006)