English

Integral left-orderable surgeries on genus one fibered knots

Geometric Topology 2021-10-08 v4

Abstract

Following the classification of genus one fibered knots in lens spaces by Baker, we determine hyperbolic genus one fibered knots in lens spaces on whose all integral Dehn surgeries yield closed 3-manifolds with left-orderable fundamental groups.

Keywords

Cite

@article{arxiv.2003.11801,
  title  = {Integral left-orderable surgeries on genus one fibered knots},
  author = {Kazuhiro Ichihara and Yasuharu Nakae},
  journal= {arXiv preprint arXiv:2003.11801},
  year   = {2021}
}

Comments

12 pages, 2 figures; updated Remark 1.1, Corollary 4.6, and Remark 3.4; updated Theorem 4.3, Table 1

R2 v1 2026-06-23T14:27:50.715Z