Allison N. Miller

activity

20112023

most citedKnot traces and concordance

25 citations · 76 across the 17 of their papers we have counts for

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Showing 2022Show all

3 papers · 1 filter

math.GT2022★ 2 cited

A note on surfaces in $CP^{2}$ and $CP^{2} # CP^{2}$

Marco Marengon, Allison N. Miller, Arunima Ray +1

In this brief note, we investigate the $CP^{2}$ -genus of knots, i.e. the least genus of a smooth, compact, orientable surface in $CP^{2} ∖ B^{4} ˚$ boun…

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 $K$ 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 $d$ -invariants of…

A note on surfaces in CP2 and CP2#CP2

Strongly invertible knots, equivariant slice genera, and an equivariant algebraic concordance group

Linking number obstructions to satellite homomorphisms

A note on surfaces in $CP^{2}$ and $CP^{2} # CP^{2}$