Self delta-equivalence of cobordant links
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- by Yasutaka Nakanishi, Tetsuo Shibuya and Akira Yasuhara PDF
- Proc. Amer. Math. Soc. 134 (2006), 2465-2472 Request permission
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.References
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Additional Information
- Yasutaka Nakanishi
- Affiliation: Department of Mathematics, Kobe University, Nada, Kobe 657-8501, Japan
- Email: nakanisi@math.kobe-u.ac.jp
- Tetsuo Shibuya
- Affiliation: Department of Mathematics, Osaka Institute of Technology, Omiya 5-16-1, Asahi, Osaka 535-8585, Japan
- Email: shibuya@ge.oit.ac.jp
- Akira Yasuhara
- Affiliation: Department of Mathematics, Tokyo Gakugei University, Nukuikita 4-1-1, Koganei, Tokyo 184-8501, Japan
- MR Author ID: 320076
- Email: yasuhara@u-gakugei.ac.jp
- Received by editor(s): October 19, 2004
- Received by editor(s) in revised form: March 3, 2005
- Published electronically: February 3, 2006
- Communicated by: Ronald A. Fintushel
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 2465-2472
- MSC (2000): Primary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-06-08234-7
- MathSciNet review: 2213721