Abstract
We provide an alternative proof of a sufficient condition for the fundamental group of the cyclic branched cover of along a prime knot to be left-orderable, which is originally due to Boyer, Gordon and Watson. As an application of this sufficient condition, we show that for any two-bridge knot, with , there are only finitely many cyclic branched covers whose fundamental groups are not left-orderable. This answers a question posed by Da̧bkowski, Przytycki and Togha.
Citation
Ying Hu. "Left-orderability and cyclic branched coverings." Algebr. Geom. Topol. 15 (1) 399 - 413, 2015. https://doi.org/10.2140/agt.2015.15.399
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