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

Institutions

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

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A bound on the equivariant unknotting number

Sarah Zampa
Acta Mathematica Academiae Scientiarum Hungaricae
Geometric and Algebraic Topology
article

A bound on the equivariant unknotting number

Sarah Zampa
article en

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.

Acta Mathematica Academiae Scientiarum Hungaricae
HUN-REN Alfréd Rényi Institute of Mathematics (HU), Budapest University of Technology and Economics (HU)
Nemzeti Kutatási Fejlesztési és Innovációs Hivatal
Openalex Percentile: Top 86%
Geometric and Algebraic Topology
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.