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 1. These 3-manifolds are L-spaces discovered by Issa and Turner.
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