Non left-orderable surgeries and generalized Baumslag-Solitar relators
  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. 
Kazuhiro Ichihara and Yuki Temma
math.GT