A bound on the equivariant unknotting number
Abstract
Abstract We study how the equivariant signature of strongly invertible knots changes when one of the Boyle–Chen equivariant crossing change moves is applied. It follows from our results that the absolute value of the equivariant signature introduced by Alfieri–Boyle gives a lower bound to three times the equivariant unknotting number.
Fields of Study & Subjects
Geometric and Algebraic Topology
Homotopy and Cohomology in Algebraic Topology
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Acta Mathematica Academiae Scientiarum Hungaricae
- Publication date
- 4 September 2026
- Language
- EN