Using Milnor invariants, we prove that the concordance group C(2) of 2-string links is not solvable. As a consequence, we prove that the equivariant concordance group of strongly invertible knots is also not solvable, and we answer a conjecture by Kuzbary (2023).

Solvability of concordance groups and Milnor invariants

Di Prisa, Alessio;
2025

Abstract

Using Milnor invariants, we prove that the concordance group C(2) of 2-string links is not solvable. As a consequence, we prove that the equivariant concordance group of strongly invertible knots is also not solvable, and we answer a conjecture by Kuzbary (2023).
2025
Settore MAT/03 - Geometria
Settore MATH-02/B - Geometria
equivariant concordance; link concordance; string links; strongly invertible knots;
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11384/160743
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