Left-orderability and exceptional Dehn surgery on twist knots

Details Left-orderability and exceptional Dehn surgery on twist knots Left-orderability and exceptional Dehn surgery on twist knots

2011-09-14

arxiv.org/abs/1109.2965v1

Mathematics

Geometric Topology

8 pages, 6 figures

Scientific paper

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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