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arXiv:1212.6305 [math.GT]AbstractReferencesReviewsResources

Left-orderable fundamental group and Dehn surgery on twist knots

Ryoto Hakamata, Masakazu Teragaito

Published 2012-12-27Version 1

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 $0\le r \le 4$.

Comments: 12 pages, 2 figures
Categories: math.GT, math.GR
Subjects: 57M25, 06F15
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