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arxiv: 1803.00076 · v1 · pith:FHA5IMRQnew · submitted 2018-02-28 · 🧮 math.GT

Left-orderablity for surgeries on (-2,3,2s+1)-pretzel knots

classification 🧮 math.GT
keywords fracleftorderablepretzelalongdehndependingfundamental
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In this paper, we prove that the fundamental group of the manifold obtained by Dehn surgery along a $(-2,3,2s+1)$-pretzel knot ($s\ge 3$) with slope $\frac{p}{q}$ is not left orderable if $\frac{p}{q}\ge 2s+3$, and that it is left orderable if $\frac{p}{q}$ is in a neighborhood of zero depending on $s$.

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