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On left-orderability and double branched covers of Kanenobu's knots

We show that the fundamental group of the double branched cover of an infinite family of homologically thin, non-quasi-alternating knots is not left-orderable, giving further support for a conjecture of Boyer, Gordon, and Watson that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental group is not left-orderable.

preprint2015arXivOpen access
Fabian Doria MedinaMichael JacksonJoaquín RualesHadas Zeilberger
math.GRmath.GT
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Open access4 authors2 topics
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Fabian Doria MedinaMichael JacksonJoaquín RualesHadas Zeilberger

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