Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots
Geometric Topology
2014-11-11 v1 Group Theory
Abstract
For any hyperbolic genus one 2-bridge knot in the 3-sphere, we show that the resulting manifold by -surgery on the knot has left-orderable fundamental group if the slope lies in some range which depends on the knot.
Keywords
Cite
@article{arxiv.1301.2361,
title = {Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots},
author = {Ryoto Hakamata and Masakazu Teragaito},
journal= {arXiv preprint arXiv:1301.2361},
year = {2014}
}
Comments
19 pages, 2 figures. arXiv admin note: text overlap with arXiv:1212.6305