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Toroidal surgery on
periodic knots
Katura Miyazaki and Kimihiko Motegi |
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Vol. 193 (2000), No. 2, 381–396
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Abstract |
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We show that r-Dehn surgery on a hyperbolic, periodic knot K with period p > 2 yields a hyperbolic manifold unless p = 3, r = 0 and the genus of K is one. Regarding hyperbolic, periodic knots with period 2, we show that only integral Dehn surgeries can yield toroidal manifolds. |
Milestones
Received: 24 July 1998
Published: 1 April 2000
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Authors |
| Katura Miyazaki | |
| Tokyo Denki University College of Humanities & Sciences 2-2 Kanda-Nishikicho Nihon University Tokyo 101 Japan |
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| Kimihiko Motegi | |
| Nihon University Sakurajosui 3-25-40, Setagaya-Ku Tokyo 156 Japan |
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