Left-orderable fundamental group and Dehn surgery on genus one two-bridge knots

Abstract

For any hyperbolic genus one 2-bridge 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 $r$ lies in some range which depends on the knot.

arXiv comment19 pages, 2 figures. arXiv admin note: text overlap with arXiv:1212.6305

References in corpus (2)

• Graph manifolds, left-orderability and amalgamation
• Left-orderability and exceptional Dehn surgery on twist knots

Cited by in corpus (4)

• Orderability and Dehn filling
• Left orderable surgeries of double twist knots II
• Integral left-orderable surgeries on genus one fibered knots
• Circular orderability of 3-manifold groups