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Left-orderability and Exceptional Dehn Surgery on Twist Knots

  • Masakazu Teragaito (a1)
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, andWatson.

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References
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[2] Boyer, S., Gordon, C. McA., and Watson, L., On L-spaces and left-orderable fundamental groups. arxiv:1107.5016.
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Canadian Mathematical Bulletin
  • ISSN: 0008-4395
  • EISSN: 1496-4287
  • URL: /core/journals/canadian-mathematical-bulletin
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