Prime amphicheiral knots with free period 2
- Resource Type
- Working Paper
- Authors
- Paoluzzi, Luisa; Sakuma, Makoto
- Source
- Proceedings of the Edinburgh Mathematical Society 63 (2020) 105-138
- Subject
- Mathematics - Geometric Topology
57M25, 57M50
- Language
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.
Comment: 36 pages, 14 figures