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Left-orderability and Exceptional Dehn Surgery on Twist Knots

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 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, andWatson.

Keywords

57M2506F15left-orderingtwist knotDehn surgery
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 56 , Issue 4 , 01 December 2013 , pp. 850 - 859
Copyright
Copyright © Canadian Mathematical Society 2013

References

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