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Left-orderable fundamental group and Dehn surgery on twist knots

Published 27 Dec 2012 in math.GT and math.GR | (1212.6305v1)

Abstract: For any hyperbolic twist knot in the 3-sphere, we show that the resulting manifold by $r$-surgery on the knot has left-orderable fundamental group if the slope $r$ satisfies the inequality $0\le r \le 4$.

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