We give necessary and sufficient conditions for a 4-manifold to be a branched covering of CP2, S2xS2, S2x similar to S2 or S3xS1, 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 CP^2 and other basic 4-manifolds
Piergallini, R.
;
2021-01-01
Abstract
We give necessary and sufficient conditions for a 4-manifold to be a branched covering of CP2, S2xS2, S2x similar to S2 or S3xS1, 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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