Left-orderable fundamental group and Dehn surgery on the knot $5_2$

Abstract

We show that the resulting manifold by $r$-surgery on the knot $5_2$, which is the two-bridge knot corresponding to the rational number 3/7, has left-orderable fundamental group if the slope $r$ satisfies $0\le r\le 4$.

8 pages, 1 figure

References in corpus (1)

• On L-spaces and left-orderable fundamental groups

Cited by in corpus (1)

• Left-orderable fundamental group and Dehn surgery on twist knots