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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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 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 |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Powell, Professor 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: | 2308-2151 |
| 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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