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

Lin Li, Zipei Nie

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…