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Cyclic Surgery Between Toroidal Surgeries

  Published:2010-12-31
 Printed: Sep 2011
  • Masakazu Teragaito,
    Department of Mathematics and Mathematics Education, Hiroshima University, Higashi-hiroshima, Japan 739-8524
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Abstract

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: cyclic surgery, toroidal surgery cyclic surgery, toroidal surgery
MSC Classifications: 57M25 show english descriptions Knots and links in $S^3$ {For higher dimensions, see 57Q45} 57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}
 

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