#### Volume 14, issue 4 (2014)

 Recent Issues
 The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Author Index To Appear ISSN (electronic): 1472-2739 ISSN (print): 1472-2747
Left-orderable fundamental groups and Dehn surgery on genus one $2$–bridge knots

### Ryoto Hakamata and Masakazu Teragaito

Algebraic & Geometric Topology 14 (2014) 2125–2148
##### Abstract
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For any hyperbolic genus-one $2$–bridge knot in the $3$–sphere, such as any hyperbolic twist knot, we show that the manifold resulting from $r$–surgery on the knot has left-orderable fundamental group if the slope $r$ lies in some range, which depends on the knot.

##### Keywords
left-orderability, Dehn surgery, knot
Primary: 57M25
Secondary: 06F15
##### Publication
Received: 26 December 2012
Revised: 14 November 2013
Accepted: 3 December 2013
Published: 28 August 2014
##### Authors
 Ryoto Hakamata Graduate School of Education Hiroshima University 1-1-1 Kagamiyama Higashi-hiroshima 739-8524 Japan Masakazu Teragaito Department of Mathematics and Mathematics Education Hiroshima University 1-1-1 Kagamiyama Higashi-hiroshima 739-8524 Japan