English

Left-orderability and exceptional Dehn surgery on twist knots

Geometric Topology 2019-08-15 v1 Group Theory

Abstract

We show that any exceptional non-trivial Dehn surgery on a twist knot, except the trefoil, yields a 3-manifold whose fundamental group is left-orderable. This is a generalization of a result of Clay, Lidman and Watson, and also gives a new supporting evidence for a conjecture of Boyer, Gordon and Watson.

Keywords

Cite

@article{arxiv.1109.2965,
  title  = {Left-orderability and exceptional Dehn surgery on twist knots},
  author = {Masakazu Teragaito},
  journal= {arXiv preprint arXiv:1109.2965},
  year   = {2019}
}

Comments

8 pages, 6 figures