Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata

2022/08/05 by Freedman, Michael, Kasprowski, Daniel, Kreck, Matthias +2 · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2208.03064

Abstract

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 that they lead to a very interesting partial order on closed 4-manifolds.

Cited by

• On nonorientable 4--manifolds

Related

• Lectures on Immersions with Controlled Curvatures
• Constructions of Smooth 4-Manifolds
• Exotic structures and adjunction inequality
• Construction of Exotic Smooth Structures
• Tight immersions and local differential geometry