Left-orderable fundamental group and Dehn surgery on twist knots
Geometric Topology
2013-01-01 v1 Group Theory
Abstract
For any hyperbolic twist knot in the 3-sphere, we show that the resulting manifold by -surgery on the knot has left-orderable fundamental group if the slope satisfies the inequality .
Cite
@article{arxiv.1212.6305,
title = {Left-orderable fundamental group and Dehn surgery on twist knots},
author = {Ryoto Hakamata and Masakazu Teragaito},
journal= {arXiv preprint arXiv:1212.6305},
year = {2013}
}
Comments
12 pages, 2 figures