Equivariant 4-genus differs from standard 4-genus for strongly invertible knots in certain symmetric 4-manifolds, shown by the figure-eight knot being slice under one inversion but not the other in S^2×S^2.
arXiv preprint arXiv:2303.08794 , year=
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Equivariantly Slice Knots in Symmetric 4-Manifolds
Equivariant 4-genus differs from standard 4-genus for strongly invertible knots in certain symmetric 4-manifolds, shown by the figure-eight knot being slice under one inversion but not the other in S^2×S^2.