22 citations · 100 across the 28 of their papers we have counts for
5 papers · 1 filter
Lefschetz fibrations on nonorientable 4-manifolds
Maggie Miller, Burak Ozbagci
Let be a nonorientable -dimensional handlebody without - and -handles. We show that admits a Lefschetz fibration over the -disk, whose regular fiber is a nonori…
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…
Equivalent characterizations of handle-ribbon knots
Maggie Miller, Alexander Zupan
The stable Kauffman conjecture posits that a knot in is slice if and only if it admits a slice derivative. We prove a related statement: A knot is handle-ribbon (also called…
Branched covers bounding rational homology balls
Paolo Aceto, Jeffrey Meier, Allison N. Miller +3
Prime power fold cyclic branched covers along smoothly slice knots all bound rational homology balls. This phenomenon, however, does not characterize slice knots. In this paper, we…
Transverse invariants and exotic surfaces in the 4-ball
András Juhász, Maggie Miller, Ian Zemke
Using 1-twist rim surgery, we construct infinitely many smoothly embedded, orientable surfaces in the 4-ball bounding a knot in the 3-sphere that are pairwise topologically isotopi…