Counterexamples in 4-manifold topology
Counterexamples in 4-manifold topology
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.
4-manifolds, equivalence relations
193-249
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Ray, Arunima
83cc0cbe-d85d-46f1-90ea-e67bc44386b8
2022
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Powell, Mark
4aaeb063-734c-4136-9da8-fb2ade23d744
Ray, Arunima
83cc0cbe-d85d-46f1-90ea-e67bc44386b8
Kasprowski, Daniel, Powell, Mark and Ray, Arunima
(2022)
Counterexamples in 4-manifold topology.
EMS Surveys in Mathematical Sciences, 9 (1), .
(doi:10.4171/EMSS/56).
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.
Text
s10539-021-09781-7 (1)
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More information
Accepted/In Press date: 4 October 2022
Published date: 2022
Additional Information:
Funding Information:
D. K. was supported by the Deutsche Forschungsgemeinschaft under Germany’s Excellence Strategy – GZ 2047/1, Projekt-ID 390685813. M. P. was partially supported by EPSRC New Investigator grant EP/T028335/1 and EPSRC New Horizons grant EP/V04821X/1.
Publisher Copyright:
© 2023 European Mathematical Society Published by EMS Press.
Keywords:
4-manifolds, equivalence relations
Identifiers
Local EPrints ID: 475452
URI: http://eprints.soton.ac.uk/id/eprint/475452
ISSN: 2308-2151
PURE UUID: c4056c30-4716-4d88-999d-8b525b3e1201
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Date deposited: 17 Mar 2023 17:51
Last modified: 06 Jun 2024 02:17
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Contributors
Author:
Daniel Kasprowski
Author:
Mark Powell
Author:
Arunima Ray
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