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 2021Show all

2 papers · 1 filter

math.GT2021★ 2 cited

Slicing knots in definite 4-manifolds

Alexandra Kjuchukova, Allison N. Miller, Arunima Ray +1

We study the $CP^{2}$ -slicing number of knots, i.e. the smallest $m \geq 0$ such that a knot $K \subseteq S^{3}$ bounds a properly embedded, null-homologous disk in a punctured…

math.GT2021

A note on the concordance $Z$ -genus

Allison N. Miller, JungHwan Park

We show that the difference between the topological 4-genus of a knot and the minimal genus of a surface bounded by that knot that can be decomposed into a smooth concordance follo…

Slicing knots in definite 4-manifolds

A note on the concordance Z-genus

A note on the concordance $Z$ -genus