Counterexamples in 4-manifold topology

Kasprowski, D., Powell, M. and Ray, A. (2023) Counterexamples in 4-manifold topology. EMS Surveys in Mathematical Sciences, 9(1), pp. 193-249. (doi: 10.4171/EMSS/56)

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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 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.

Item Type:Articles
Glasgow Author(s) Enlighten ID:Powell, Dr Mark
Authors: Kasprowski, D., Powell, M., and Ray, A.
Subjects:Q Science > QA Mathematics
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:EMS Surveys in Mathematical Sciences
Publisher:EMS Press
ISSN (Online):2308-216X
Copyright Holders:Copyright © 2023 European Mathematical Society
First Published:First published in 9(1):193-249
Publisher Policy:Reproduced under a Creative Commons licence

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