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Immersions of punctured 4-manifolds: with applications to quantum cellular automata

Immersions of punctured 4-manifolds: with applications to quantum cellular automata
Immersions of punctured 4-manifolds: with applications to quantum cellular automata
Motivated by applications to pulling back quantum cellular automata from one manifold to another, we study the existence of immersions between certain smooth 4-manifolds. We show that they lead to a very interesting partial order on closed 4-manifolds
math.GT, math-ph, math.MP
0002-9947
Freedman, Michael
ea9bbc5b-5290-40b6-be6c-40da8dc0d548
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Kreck, Matthias
344bc4be-5e99-4dec-9779-809cefb8d516
Reid, Alan W.
a69617a9-c278-42ca-97d0-58c283c8cd41
Teichner, Peter
aee2a853-8909-43cc-a810-b0a8e10fc77b
Freedman, Michael
ea9bbc5b-5290-40b6-be6c-40da8dc0d548
Kasprowski, Daniel
44af11b9-4d22-49f2-a6a3-04009f45b075
Kreck, Matthias
344bc4be-5e99-4dec-9779-809cefb8d516
Reid, Alan W.
a69617a9-c278-42ca-97d0-58c283c8cd41
Teichner, Peter
aee2a853-8909-43cc-a810-b0a8e10fc77b

Freedman, Michael, Kasprowski, Daniel, Kreck, Matthias, Reid, Alan W. and Teichner, Peter (2025) Immersions of punctured 4-manifolds: with applications to quantum cellular automata. Transactions of the American Mathematical Society. (doi:10.48550/arXiv.2208.03064). (In Press)

Record type: Article

Abstract

Motivated by applications to pulling back quantum cellular automata from one manifold to another, we study the existence of immersions between certain smooth 4-manifolds. We show that they lead to a very interesting partial order on closed 4-manifolds

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2208.03064 - Author's Original
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2208.03064v2 - Accepted Manuscript
Available under License Creative Commons Attribution.
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More information

In preparation date: 5 August 2022
Accepted/In Press date: 20 May 2025
Keywords: math.GT, math-ph, math.MP

Identifiers

Local EPrints ID: 476274
URI: http://eprints.soton.ac.uk/id/eprint/476274
ISSN: 0002-9947
PURE UUID: 23c5180e-e039-4bd2-8328-017aa1de69f3
ORCID for Daniel Kasprowski: ORCID iD orcid.org/0000-0001-5926-2206

Catalogue record

Date deposited: 18 Apr 2023 16:38
Last modified: 28 May 2025 02:12

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Contributors

Author: Michael Freedman
Author: Daniel Kasprowski ORCID iD
Author: Matthias Kreck
Author: Alan W. Reid
Author: Peter Teichner

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