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Self delta-equivalence of cobordant links
Authors:
Yasutaka Nakanishi, Tetsuo Shibuya and Akira Yasuhara
Journal:
Proc. Amer. Math. Soc. 134 (2006), 2465-2472
MSC (2000):
Primary 57M25
Posted:
February 3, 2006
MathSciNet review:
2213721
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Abstract: Self  -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  -equivalent. In this paper, we will give a sufficient condition for cobordant links to be self  -equivalent.
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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
Email:
yasuhara@u-gakugei.ac.jp
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08234-7
PII:
S 0002-9939(06)08234-7
Keywords:
$\Delta$-move,
self $\Delta$-equivalence,
link-homotopy,
cobordant
Received by editor(s):
October 19, 2004
Received by editor(s) in revised form:
March 3, 2005.
Posted:
February 3, 2006
Communicated by:
Ronald A. Fintushel
Article copyright:
© Copyright 2006 American Mathematical Society
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