Connected sum decompositions of high-dimensional manifolds
Connected sum decompositions of high-dimensional manifolds
The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decomposed any further. We discuss to what degree such decompositions exist in higher dimensions and we show that in many settings uniqueness fails in higher dimensions.
5-30
Bokor, Imre
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Crowley, Diarmuid
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Friedl, Stefan
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Hebestreit, Fabian
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Kasprowski, Daniel
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Land, Markus
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Nicholson, Johnny
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Bokor, Imre
eddcc317-19c4-4c71-a0a1-cf5fb299b71a
Crowley, Diarmuid
31da473f-e53a-4851-88f8-d227804774a2
Friedl, Stefan
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Hebestreit, Fabian
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Kasprowski, Daniel
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Land, Markus
009b4607-66d6-458a-a7fe-70685e90e311
Nicholson, Johnny
f05120b3-3261-4061-8dba-1ffd0ea92aeb
Bokor, Imre, Crowley, Diarmuid, Friedl, Stefan, Hebestreit, Fabian, Kasprowski, Daniel, Land, Markus and Nicholson, Johnny
(2021)
Connected sum decompositions of high-dimensional manifolds.
In,
Wood, David R., de Gier, Jan, Praeger, Cheryl E. and Tao, Terence
(eds.)
2019-20 MATRIX Annals.
(MATRIX Book Series, 4)
Springer Cham, .
(doi:10.1007/978-3-030-62497-2_1).
Record type:
Book Section
Abstract
The classical Kneser-Milnor theorem says that every closed oriented connected 3-dimensional manifold admits a unique connected sum decomposition into manifolds that cannot be decomposed any further. We discuss to what degree such decompositions exist in higher dimensions and we show that in many settings uniqueness fails in higher dimensions.
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e-pub ahead of print date: 11 February 2021
Identifiers
Local EPrints ID: 475467
URI: http://eprints.soton.ac.uk/id/eprint/475467
ISSN: 2523-3041
PURE UUID: b6fcaefd-5551-4815-8993-54c4ae62a20e
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Date deposited: 20 Mar 2023 17:38
Last modified: 17 Mar 2024 04:19
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Contributors
Author:
Imre Bokor
Author:
Diarmuid Crowley
Author:
Stefan Friedl
Author:
Fabian Hebestreit
Author:
Daniel Kasprowski
Author:
Markus Land
Author:
Johnny Nicholson
Editor:
David R. Wood
Editor:
Jan de Gier
Editor:
Cheryl E. Praeger
Editor:
Terence Tao
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