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Klein bottle surgery
and genera of knots
Kazuhiro Ichihara and Masakazu Teragaito |
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Vol. 210 (2003), No. 2, 317–333
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Abstract |
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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. |
Milestones
Received: 22 October 2001
Revised: 20 July 2002
Published: 1 June 2003
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Authors |
| Kazuhiro Ichihara | |
| Department of Information and
Computer Sciences Faculty of Science, Nara Women’s University Kita-Uoya Nishimachi Nara 630-8506 Japan |
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| Masakazu Teragaito | |
| Department of Mathematics and
Mathematics Education Hiroshima University 1-1-1 Kagamiyama Higashi-hiroshima 739-8524 Japan |
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