Journal Of The London Mathematical Society
We use the Blanchfield form to obtain a lower bound on the equivariant slice genus of a strongly invertible knot. For our main application, let K be a strongly invertible genus one slice knot with nontrivial Alexander polynomial. We show that the equivariant slice genus of an equivariant connected sum #nK is at least n/4. We also formulate an equivariant algebraic concordance group, and show that the kernel of the forgetful map to the classical algebraic concordance group is infinite rank.
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Allison N. Miller and M. Powell.
"Strongly Invertible Knots, Equivariant Slice Genera, And An Equivariant Algebraic Concordance Group".
Journal Of The London Mathematical Society.