Left-orderable fundamental group and Dehn surgery on twist knots

Abstract

For any hyperbolic twist knot in the 3-sphere, we show that the resulting manifold by $r$-surgery on the knot has left-orderable fundamental group if the slope $r$ satisfies the inequality $0\le r\le 4$.

12 pages, 2 figures

References in corpus (2)

• On L-spaces and left-orderable fundamental groups
• Left-orderable fundamental group and Dehn surgery on the knot $5_2$