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Journal Article

Counterexamples in 4-manifold topology

MPS-Authors
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Kasprowski,  Daniel
Max Planck Institute for Mathematics, Max Planck Society;

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Powell,  Mark
Max Planck Institute for Mathematics, Max Planck Society;

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Ray,  Arunima
Max Planck Institute for Mathematics, Max Planck Society;

External Resource

https://doi.org/10.4171/emss/56
(Publisher version)

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Citation

Kasprowski, D., Powell, M., & Ray, A. (2022). Counterexamples in 4-manifold topology. EMS Surveys in Mathematical Sciences, 9(1), 193-249.


Cite as: https://hdl.handle.net/21.11116/0000-000C-C76E-9
Abstract
We illustrate the rich landscape of 4-manifold topology through the lens of counterexamples. We consider several of the most commonly studied equivalence relations on 4-manifolds 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.