Non-left-orderable surgeries on L-space twisted torus knots

Tran, Anh

doi:10.1090/proc/14701

Non-left-orderable surgeries on L-space twisted torus knots
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Proc. Amer. Math. Soc. 148 (2020), 447-456 Request permission

Abstract:

We show that if $K$ is an L-space twisted torus knot $T^{l,m}_{p,pk \pm 1}$ with $p \ge 2$, $k \ge 1$, $m \ge 1$, and $1 \le l \le p-1$, then the fundamental group of the $3$-manifold obtained by $\frac {r}{s}$-surgery along $K$ is not left-orderable whenever $\frac {r}{s} \ge 2 g(K) -1$, where $g(K)$ is the genus of $K$.

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