Vol. 210, No. 2, 2003

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Kazuhiro Ichihara & Masakazu Teragaito

Abstract

In this paper, we study the creation of Klein bottles by surgery on knots in the 3-sphere. For non-cabled knots, it is known that the slope corresponding to such surgery is an integer. We give an upper bound for the slopes yielding Klein bottles in terms of the genera of knots.

Authors
Kazuhiro Ichihara
Department of Information and Computer Sciences
Faculty of Science, Nara Women's University
Kita-Uoya Nishimachi
Nara 630-8506
Japan
Masakazu Teragaito
Department of Mathematics and Mathematics Education
Hiroshima University
1-1-1 Kagamiyama
Higashi-hiroshima 739-8524
Japan