RT Journal Article
T1 4-manifolds, 3-fold covering spaces and ribbons.
A1 Montesinos Amilibia, José María
AB 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.
PB American Mathematical Society
SN 0002-9947
YR 1978
FD 1978-11
LK https://hdl.handle.net/20.500.14352/64711
UL https://hdl.handle.net/20.500.14352/64711
LA eng
DS Docta Complutense
RD 7 abr 2025