A new invariant of equivariant concordance and results on 2-bridge knots

Di Prisa, Alessio; Framba, Giovanni

doi:10.2140/agt.2025.25.1117

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A new invariant of equivariant concordance and results on $2$-bridge knots

Alessio Di Prisa and Giovanni Framba

Algebraic & Geometric Topology 25 (2025) 1117–1132

DOI: 10.2140/agt.2025.25.1117

Abstract

We study the equivariant concordance classes of 2-bridge knots and we prove that no 2-bridge knot is equivariantly slice. Finally, we introduce a new equivariant concordance invariant for strongly invertible knots. Using this invariant as an obstruction we strengthen the result on $2$ -bridge knots, proving that every $2$ -bridge knot has infinite order in the equivariant concordance group.

Keywords

strongly invertible knot, 2-bridge knot, concordance, eta-function

Mathematical Subject Classification

Primary: 57K10

Secondary: 57R85

References

Publication

Received: 12 June 2023

Revised: 14 December 2023

Accepted: 3 January 2024

Published: 16 May 2025

Authors

Alessio Di Prisa
Scuola Normale Superiore di Pisa Pisa Italy

Giovanni Framba
Università di Pisa Pisa Italy

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Volume 25, issue 2 (2025)