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

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.

arXiv comment48 pages, with an appendix by Alan W. Reid; v2: changes following a referee report, to appear in Transactions of the AMS

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