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arXiv · 1109.2965

Left-orderability and exceptional Dehn surgery on twist knots

Masakazu Teragaito
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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.

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Masakazu Teragaito. 2011-09-14. Left-orderability and exceptional Dehn surgery on twist knots. https://doi.org/10.4153/cmb-2012-011-0

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