Prime amphicheiral knots with free period 2

Luisa Paoluzzi (1) , Makoto Sakuma

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités

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.

Domaines: Topologie géométrique [math.GT]

Luisa Paoluzzi, Makoto Sakuma. Prime amphicheiral knots with free period 2. Proceedings of the Edinburgh Mathematical Society, 2020, 63, pp.105-138. ⟨10.1017/S0013091519000257⟩. ⟨hal-01763407⟩