English

Computing Genera of Satellite Tunnel Number One Knots and Torti-rational Knots

Geometric Topology 2019-05-27 v1

Abstract

The genus of satellite tunnel number one knots and torti-rational knots is computed using the tools introduced by Floyd and Hatcher. An implementation of an algorithm is given to compute genus and slopes of minimal genus Seifert surfaces for such knots.

Keywords

Cite

@article{arxiv.1905.09873,
  title  = {Computing Genera of Satellite Tunnel Number One Knots and Torti-rational Knots},
  author = {Mario Eudave-Muñoz and Fabiola Manjarrez-Gutiérrez and Enrique Ramírez-Losada and Jesús Rodríguez-Viorato},
  journal= {arXiv preprint arXiv:1905.09873},
  year   = {2019}
}