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

Fabian Doria Medina; Michael Jackson; Joaquín Ruales; Hadas Zeilberger

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arXiv · 1310.1877

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

Fabian Doria Medina·Michael Jackson·Joaquín Ruales·Hadas Zeilberger

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Abstract

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.

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Fabian Doria Medina, Michael Jackson, Joaquín Ruales, Hadas Zeilberger. 2013-10-07. On left-orderability and double branched covers of Kanenobu's knots. https://arxiv.org/abs/1310.1877

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