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Cyclic Surgery Between Toroidal Surgeries

Published online by Cambridge University Press:  20 November 2018

Masakazu Teragaito
Masakazu Teragaito*
Affiliation:
Department of Mathematics and Mathematics Education, Hiroshima University, Higashi-hiroshima, Japan 739-8524 e-mail: teragai@hiroshima-u.ac.jp
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Abstract

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We show that there is an infinite family of hyperbolic knots such that each knot admits a cyclic surgery $m$ whose adjacent surgeries $m\,-\,1$ and $m\,+\,1$ are toroidal. This gives an affirmative answer to a question asked by Boyer and Zhang.

Keywords

57M25cyclic surgerytoroidal surgery
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 54 , Issue 3 , 01 September 2011 , pp. 556 - 560
Copyright
Copyright © Canadian Mathematical Society 2011

References

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