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

Masakazu Teragaito; Ryoto Hakamata

arxiv: 1208.2087 · v1 · pith:E3KJSG6Jnew · submitted 2012-08-10 · 🧮 math.GT · math.GR

Left-orderable fundamental group and Dehn surgery on the knot 5₂

Ryoto Hakamata , Masakazu Teragaito This is my paper

classification 🧮 math.GT math.GR

keywords knotfundamentalgroupleft-orderablesurgerycorrespondingdehnmanifold

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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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Left-orderable fundamental group and Dehn surgery on the knot 5₂

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