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.

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

Di Prisa, Alessio;
2025

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.
2025
Settore MAT/03 - Geometria
Settore MATH-02/B - Geometria
2-bridge knot; concordance; eta-function; strongly invertible knot;
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/160763
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