English

Prime amphicheiral knots with free period 2

Geometric Topology 2020-02-19 v1

Abstract

We construct prime amphicheiral knots that have free period 2. This settles an open question raised by the second named author, who proved that amphicheiral hyperbolic knots cannot admit free periods and that prime amphicheiral knots cannot admit free periods of order >2.

Keywords

Cite

@article{arxiv.1804.03188,
  title  = {Prime amphicheiral knots with free period 2},
  author = {Luisa Paoluzzi and Makoto Sakuma},
  journal= {arXiv preprint arXiv:1804.03188},
  year   = {2020}
}

Comments

36 pages, 14 figures