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Cyclic Surgery Between Toroidal Surgeries

Published online by Cambridge University Press:  20 November 2018

Masakazu Teragaito*
Affiliation:
Department of Mathematics and Mathematics Education, Hiroshima University, Higashi-hiroshima, Japan 739-8524 e-mail: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2011

References

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