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arXiv:1301.2361 [math.GT]AbstractReferencesReviewsResources

Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots

Ryoto Hakamata, Masakazu Teragaito

Published 2013-01-11Version 1

For any hyperbolic genus one 2-bridge 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 $r$ lies in some range which depends on the knot.

Comments: 19 pages, 2 figures. arXiv admin note: text overlap with arXiv:1212.6305
Categories: math.GT, math.GR
Subjects: 57M25
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