Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata

[2208.03064] Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata Skip to main content Search Submit Donate Log in Mathematics > Geometric Topology arXiv:2208.03064 (math) [Submitted on 5 Aug 2022 ( v1 ), last revised 22 May 2025 (this version, v2)] Title: Immersions of punctured 4-manifolds: with applications to Quantum Cellular Automata Authors: Michael Freedman , Daniel Kasprowski , Matthias Kreck , Alan W. Reid , Peter Teichner View PDF HTML (experimental) 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. Comments: 48 pages, with an appendix by Alan W. Reid; v2: changes following a referee report, to appear in Transactions of the AMS Subjects: Geometric Topology (math.GT) ; Mathematical Physics (math-ph) Report number: MPIM-Bonn-2022 Cite as: arXiv:2208.03064 [math.GT] (or arXiv:2208.03064v2 [math.GT] for this version) https://doi.org/10.48550/arXiv.2208.03064 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Trans. Amer. Math. Soc. 379 (2026), no. 10, 6761-6808 Related DOI : https://doi.org/10.1090/tran/9546 Focus to learn more DOI(s) linking to related resources Submission history From: Daniel Kasprowski [ view email ] [v1] Fri, 5 Aug 2022 09:43:14 UTC (52 KB) [v2] Thu, 22 May 2025 13:05:41 UTC (57 KB) Full-text links: Access Paper: View PDF HTML (experimental) TeX Source view license Current browse context: math.GT < prev | next > new | recent | 2022-08 Change to browse by: math math-ph math.MP References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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