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arXiv · 1301.2361

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

Ryoto Hakamata·Masakazu Teragaito
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Abstract

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.

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Ryoto Hakamata, Masakazu Teragaito. 2013-01-11. Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots. https://doi.org/10.2140/agt.2014.14.2125

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