Jeffrey Meier

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math.GT2025

Equivariant trisections for group actions on four-manifolds

Jeffrey Meier, Evan Scott

Let $G$ be a finite group, and let $X$ be a smooth, orientable, connected, closed 4-dimensional $G$ -manifold. Let $S$ be a smooth, embedded, $G$ -invariant surface in $X$ .…

math.GT2025

An equivariant Laudenbach-PoÃ©naru theorem

Jeffrey Meier, Evan Scott

A foundational theorem of Laudenbach and PoÃ©naru states that any diffeomorphism of $#^{n} (S^{1} \times S^{2})$ extends to a diffeomorphism of $♮^{n} (S^{1} \times B^{3})$ . We prove a gen…

math.GT2024

Ribbon numbers of 12-crossing knots

Xianhao An, Matthew Aronin, David Cates +14

The ribbon number of a knot is the minimum number of ribbon singularities among all ribbon disks bounded by that knot. In this paper, we build on the systematic treatment of this k…