6 citations · 13 across the 15 of their papers we have counts for
4 papers · 1 filter
Equivariant cobordisms between freely-periodic knots
Keegan Boyle, Jeffrey Musyt
We consider free symmetries on cobordisms between knots. We classify which freely periodic knots bound equivariant surfaces in the 4-ball in terms of corresponding homology classes…
Strongly invertible knots, invariant surfaces, and the Atiyah-Singer signature theorem
Antonio Alfieri, Keegan Boyle
We use the G-signature theorem to define an invariant of strongly invertible knots analogous to the knot signature.
Equivariantly slicing strongly negative amphichiral knots
Keegan Boyle, Ahmad Issa
We prove obstructions to a strongly negative amphichiral knot bounding an equivariant slice disk in the 4-ball using the determinant, Spinc-structures and Donaldson's theorem. Of t…
Equivariant 4-genera of strongly invertible and periodic knots
Keegan Boyle, Ahmad Issa
We study the equivariant genera of strongly invertible and periodic knots. Our techniques include some new strongly invertible concordance group invariants, Donaldson's theorem, an…