English

Double branched covers of tunnel number one knots

Geometric Topology 2019-05-15 v1

Abstract

We provide criteria ensuring that a tunnel number one knot KK is not determined by its double branched cover, in the sense that the double branched cover is also the double branched cover of a knot KK' not equivalent to KK.

Keywords

Cite

@article{arxiv.1905.05366,
  title  = {Double branched covers of tunnel number one knots},
  author = {Yeonhee Jang and Luisa Paoluzzi},
  journal= {arXiv preprint arXiv:1905.05366},
  year   = {2019}
}