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arXiv · 1803.00076

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

Zipei Nie
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Abstract

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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Zipei Nie. 2018-02-28. Left-orderablity for surgeries on $(-2,3,2s+1)$-pretzel knots. https://arxiv.org/abs/1803.00076

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