Maggie Miller

collaborators

4 papers

math.GT2025

Branched Covers of Open Manifolds

Mark Hughes, Alexandra Kjuchukova, Maggie Miller

For $m = 2$ and $m = 3$ we prove that any connected, oriented, open manifold $M^{m}$ admits a simple branched covering map over $R^{m}$ . When $M$ has $k$ ends and $k$ is finite, t…

math.GT2025

Branched covers of twist-roll spun knots and turned twisted tori

Mark Hughes, Seungwon Kim, Maggie Miller

We prove that the double branched cover of a twist-roll spun knot in $S^{4}$ is smoothly preserved when four twists are added, and that the double branched cover of a twist-roll spun…

math.GT2024

Non-split, alternating links bound unique Seifert surfaces in the 4-ball

Seungwon Kim, Maggie Miller, Jaehoon Yoo

We show that any two same-genus, oriented, boundary parallel surfaces bounded by a non-split, alternating link into the 4-ball are smoothly isotopic fixing boundary. In other words…

math.GT2024

$Z$ -disks in $C P^{2}$

Anthony Conway, Irving Dai, Maggie Miller

We study locally flat disks in $(C P^{2})^{\circ} := (C P^{2}) ∖ B^{4} ˚$ with boundary a fixed knot $K$ and whose complement has fundamental group $\mathbb…

Branched Covers of Open Manifolds

Branched covers of twist-roll spun knots and turned twisted tori

Non-split, alternating links bound unique Seifert surfaces in the 4-ball

Z-disks in CP2

$Z$ -disks in $C P^{2}$