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Self delta-equivalence of cobordant links
Authors:Yasutaka Nakanishi   Tetsuo Shibuya   Akira Yasuhara
Affiliation:Department of Mathematics, Kobe University, Nada, Kobe 657-8501, Japan ; Department of Mathematics, Osaka Institute of Technology, Omiya 5-16-1, Asahi, Osaka 535-8585, Japan ; Department of Mathematics, Tokyo Gakugei University, Nukuikita 4-1-1, Koganei, Tokyo 184-8501, Japan
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.

Keywords:$Delta$-move   self $Delta$-equivalence   link-homotopy   cobordant
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