2026-06-28T10:02:59Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/647112023-08-26T05:57:41Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Montesinos Amilibia, José María
2023-06-21T02:02:57Z
2023-06-21T02:02:57Z
1978-11
0002-9947
10.2307/1998880
https://hdl.handle.net/20.500.14352/64711
http://www.ams.org/journals/tran/1978-245-00/S0002-9947-1978-0511423-7/S0002-9947-1978-0511423-7.pdf
http://www.ams.org/
It is shown that a PL, orientable 4-manifold with no 3- or 4-handles is a 3-fold irregular cover of the 4-ball, branched over a ribbon 2-manifold. The author also studies 2-fold branched cyclic covers and finds examples of surfaces in S4 whose 2-fold branched covers are again S4; this gives new examples of exotic involutions on S4 [cf. C. McA. Gordon, Proc. London Math. Soc. (3) 29 (1974), 98–110]. The conjecture that any closed, orientable 4-manifold is an irregular 4-fold branched cover of S4 is reduced to studying bordism classes of irregular 4-fold covers of S3 with covering space equal to a connected sum of copies of S1×S2.
eng
4-manifolds, 3-fold covering spaces and ribbons.
journal article
URL
https://docta.ucm.es/bitstreams/29415936-b551-44fb-bf0d-b8ba498bc65b/download
File
MD5
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Montesinos22.pdf
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https://docta.ucm.es/bitstreams/3f78ea04-d946-499a-9d49-1b53a9935495/download
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text/plain
Montesinos22.pdf.txt