The paper introduces equivariant Q-sliceness for strongly invertible knots, proves Klein amphichiral knots are equivariant Q-slice in a single Q-homology 4-ball, and shows Alexander polynomial squareness obstructs it.
Solvability of concordance groups and Milnor invariants
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abstract
Using Milnor invariants, we prove that the concordance group $\mathcal{C}(2)$ 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 posed by Kuzbary.
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2024 1verdicts
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Equivariant Q-sliceness of strongly invertible knots
The paper introduces equivariant Q-sliceness for strongly invertible knots, proves Klein amphichiral knots are equivariant Q-slice in a single Q-homology 4-ball, and shows Alexander polynomial squareness obstructs it.