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Left-orderability and exceptional Dehn surgery on twist knots

Published 14 Sep 2011 in math.GT and math.GR | (1109.2965v1)

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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