On left-orderability and double branched covers of Kanenobu's knots
Geometric Topology
2015-06-09 v3 Group Theory
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.
Keywords
Cite
@article{arxiv.1310.1877,
title = {On left-orderability and double branched covers of Kanenobu's knots},
author = {Fabian Doria Medina and Michael Jackson and Joaquín Ruales and Hadas Zeilberger},
journal= {arXiv preprint arXiv:1310.1877},
year = {2015}
}
Comments
39 pages, 1 figure, 10 tables