Non-left-orderability of cyclic branched covers of pretzel knots $P(3,-3,-2k-1)$

Abstract

We prove the non-left-orderability of the fundamental group of the $n$-th fold cyclic branched cover of the pretzel knot $P(3,-3,-2k-1)$ for all integers $k$ and $n\ge 1$. These $3$-manifolds are $L$-spaces discovered by Issa and Turner.

5 pages, 2 figures

References in corpus (1)

• Links all of whose cyclic branched covers are L-spaces