Left-orderability and exceptional Dehn surgery on twist knots

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.

8 pages, 6 figures

Cited by in corpus (2)

• Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots
• Integral left-orderable surgeries on genus one fibered knots