Counterexamples in 4-manifold topology

Abstract

We consider several of the most commonly studied equivalence relations on 4manifolds and how they are related to one another. We explain implications e.g. that h-cobordant manifolds are stably homeomorphic, and we provide examples illustrating the failure of other potential implications. The information is conveniently organised in a flowchart and a table. 2020 Mathematics Subject Classification. 57K40.