Maggie Miller

activity

20172022

4

-dimensional light bulb theorem

3 citations · 4 across the 6 of their papers we have counts for

collaborators

12 papers

math.GT2022

Concordance of spheres in 4-manifolds with an immersed dual sphere

Michael Klug, Maggie Miller

Let $S_{0}$ and $S_{1}$ be two homotopic, oriented 2-spheres embedded in an orientable 4-manifold $X$ . After discussing several operations for modifying an immersion of a 3-manifold in…

math.GT2020

Lefschetz fibrations on nonorientable 4-manifolds

Maggie Miller, Burak Ozbagci

Let $W$ be a nonorientable $4$ -dimensional handlebody without $3$ - and $4$ -handles. We show that $W$ admits a Lefschetz fibration over the $2$ -disk, whose regular fiber is a nonori…

math.GT2020

Trisections of non-orientable 4-manifolds

Maggie Miller, Patrick Naylor

We study trisections of smooth, compact non-orientable 4-manifolds, and introduce trisections of non-orientable 4-manifolds with boundary. In particular, we prove a non-orientable…

math.GT2020

Equivalent characterizations of handle-ribbon knots

Maggie Miller, Alexander Zupan

The stable Kauffman conjecture posits that a knot in $S^{3}$ is slice if and only if it admits a slice derivative. We prove a related statement: A knot is handle-ribbon (also called…

math.GT2019

The effect of link Dehn surgery on the Thurston norm

Maggie Miller

Let $L$ be an $n$ -component link ( $n > 1$ ) with pairwise nonzero linking numbers in a rational homology $3$ -sphere $Y$ . Assume the link complement $X := Y ∖ ν (L)$ has nondegenera…

math.GT2019

Trisections of 5-manifolds

Peter Lambert-Cole, Maggie Miller

Gay and Kirby introduced the notion of a trisection of a smooth 4-manifold, which is a decomposition of the 4-manifold into three elementary pieces. Rubinstein and Tillmann later e…