1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GT2023★ 1 cited
A partial resolution of Hedden's conjecture on satellite homomorphisms
Randall Johanningsmeier, Hillary Kim, Allison N. Miller
A pattern knot in a solid torus defines a self-map of the smooth knot concordance group. We prove that if the winding number of a pattern is even but not divisible by 8, then the c…
math.GT2022★ 1 cited
Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group
Allison N. Miller, Mark Powell
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 be a genus one strongly invertib…
math.GT2022
Linking number obstructions to satellite homomorphisms
Tye Lidman, Allison N. Miller, Juanita Pinzón-Caicedo
We prove that satellite operations that satisfy a certain positivity condition and have winding number other than one are not homomorphisms. The argument uses the -invariants of…