Equivariant 4-genera of strongly invertible and periodic knots

We study the equivariant genera of strongly invertible and periodic knots. Our techniques include some new strongly invertible concordance group invariants, Donaldson's theorem, and the g-signature. We find many new examples where the equivariant 4-genus is larger than the 4-genus.
Comment: 41 pages, 14 figures. Comments are very welcome!