3 papers
math.GT2025
Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata
Michael Freedman, Daniel Kasprowski, Matthias Kreck +2
Motivated by applications to pulling back quantum cellular automata from one manifold to another, we study the existence of immersions between certain smooth 4-manifolds. We show t…
math.GT2024
Filling links and spines in 3-manifolds
Michael Freedman, Vyacheslav Krushkal, Christopher J. Leininger +1
We introduce and study the notion of filling links in 3-manifolds: a link L is filling in M if for any 1-spine G of M which is disjoint from L, injects into $Ï_1(M\small…
math.GT2024
Packing Meets Topology
Michael H. Freedman
This note initiates an investigation of packing links into a region of Euclidean space to achieve a maximal density subject to geometric constraints. The upper bounds obtained appl…