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Left-orderability and Exceptional Dehn Surgery on Twist Knots

  Published:2012-05-17
 Printed: Dec 2013
  • Masakazu Teragaito,
    Department of Mathematics and Mathematics Education, Hiroshima University, 1-1-1 Kagamiyama, Higashi-hiroshima, Japan 739-8524
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Abstract

We show that any exceptional non-trivial Dehn surgery on a twist knot, except the trefoil, yields a $3$-manifold whose fundamental group is left-orderable. This is a generalization of a result of Clay, Lidman and Watson, and also gives a new supporting evidence for a conjecture of Boyer, Gordon and Watson.
Keywords: left-ordering, twist knot, Dehn surgery left-ordering, twist knot, Dehn surgery
MSC Classifications: 57M25, 06F15 show english descriptions Knots and links in $S^3$ {For higher dimensions, see 57Q45}
Ordered groups [See also 20F60]
57M25 - Knots and links in $S^3$ {For higher dimensions, see 57Q45}
06F15 - Ordered groups [See also 20F60]
 

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