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On strongly n-trivial 2-bridge knots

Published online by Cambridge University Press:  02 November 2004

ICHIRO TORISU
ICHIRO TORISU
Affiliation:
Department of Computer Science and Engineering, Faculty of Engineering and Resource Science, Akita University, 1-1 Tegata Gakuen-cho, Akita-shi, Akita 010-8502, Japan. e-mail: torisu@math.akita-u.ac.jp
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Abstract

We study strong triviality of 2-bridge knots via Dehn surgery techniques and prove that a 2-bridge knot is strongly $n$-trivial for $n\geq 1$ if and only if it is the trivial knot, the trefoil knot or the figure-eight knot.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 137 , Issue 3 , November 2004 , pp. 613 - 616
Copyright
© 2004 Cambridge Philosophical Society

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