6 citations · 6 across the 3 of their papers we have counts for
4 papers
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.
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…
Odd Order Group Actions on Alternating Knots
Keegan Boyle
Let K be a an alternating prime knot in the 3-sphere. We investigate the category of flypes between reduced alternating diagrams for K. As a consequence, we show that any odd prime…
Quotients of Definite Periodic Knots are Definite
Keegan Boyle
A knot is definite if . We prove that the quotient of a definite periodic knot is definite by considering equivariant minimal genus Seifert surfaces.