A bound on the equivariant unknotting number
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.
Authors
- Sarah Zampa
Institutions
- HUN-REN Alfréd Rényi Institute of Mathematics (HU)
- Budapest University of Technology and Economics (HU)
Publication Details
- Journal
- Acta Mathematica Academiae Scientiarum Hungaricae
- Published
- 2026-09-04
- DOI
- https://doi.org/10.1007/s10474-026-01625-8
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Nemzeti Kutatási Fejlesztési és Innovációs Hivatal