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arXiv:2106.15582 [math.GT]AbstractReferencesReviewsResources

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

Lin Li, Zipei Nie

Published 2021-06-29Version 1

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.

Comments: 5 pages, 2 figures
Categories: math.GT
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