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Left-orderable fundamental group and Dehn surgery on the knot $5_2$

Published 10 Aug 2012 in math.GT and math.GR | (1208.2087v1)

Abstract: We show that the resulting manifold by $r$-surgery on the knot $5_2$, which is the two-bridge knot corresponding to the rational number 3/7, has left-orderable fundamental group if the slope $r$ satisfies $0\le r\le 4$.

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