location:  Publications → journals → CMB
Abstract view

# 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
 Format: HTML LaTeX MathJax PDF

## 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
 MSC Classifications: 57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}