We give necessary and sufficient conditions for a 4-manifold to be a branched covering of CP^2 and sphere products, which are expressed in terms of the Betti numbers and the signature of the 4-manifold. Moreover, we extend these results to include branched coverings of connected sums of the above manifolds. This leads to some new examples of closed simply connected quasiregularly elliptic 4-manifolds.
Branched coverings of CP2 and other basic 4-manifolds
Zuddas, D.
2021-01-01
Abstract
We give necessary and sufficient conditions for a 4-manifold to be a branched covering of CP^2 and sphere products, which are expressed in terms of the Betti numbers and the signature of the 4-manifold. Moreover, we extend these results to include branched coverings of connected sums of the above manifolds. This leads to some new examples of closed simply connected quasiregularly elliptic 4-manifolds.File in questo prodotto:
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Branched coverings of CP2.pdf
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cover-cp2.pdf
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Descrizione: Articolo (versione libera post-print)pubblicato final version at DOI 10.1112/blms.12463
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