On left-orderable fundamental groups and Dehn surgeries on knots
Geometric Topology
2013-06-18 v3
Abstract
We show that the resulting manifold by -surgery on a large class of two-bridge knots has left-orderable fundamental group if the slope satisfies certain conditions. This result gives a supporting evidence to a conjecture of Boyer, Gordon and Watson that relates -spaces and the left-orderability of their fundamental groups.
Cite
@article{arxiv.1301.2637,
title = {On left-orderable fundamental groups and Dehn surgeries on knots},
author = {Anh T. Tran},
journal= {arXiv preprint arXiv:1301.2637},
year = {2013}
}
Comments
Very minor changes. To appear in the Journal of the Mathematical Society of Japan