Non left-orderable surgeries and generalized Baumslag-Solitar relators
Geometric Topology
2014-09-18 v4
Abstract
We show that a knot has a non left-orderable surgery if the knot group admits a generalized Baumslag-Solitar relator and satisfies certain conditions on a longitude of the knot. As an application, it is shown that certain positively twisted torus knots admit non left-orderable surgeries.
Keywords
Cite
@article{arxiv.1406.4700,
title = {Non left-orderable surgeries and generalized Baumslag-Solitar relators},
author = {Kazuhiro Ichihara and Yuki Temma},
journal= {arXiv preprint arXiv:1406.4700},
year = {2014}
}
Comments
6 pages. ver.4: a corollary about twisted torus knots is added