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arXiv · 1707.03667

Branched coverings of $CP^2$ and other basic 4-manifolds

Riccardo Piergallini·Daniele Zuddas
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Abstract

We give necessary and sufficient conditions for a 4-manifold to be a branched covering of $CP^2$, $S^2\times S^2$, $S^2 \mathbin{\tilde\times} S^2$ and $S^3 \times S^1$, which are expressed in terms of the Betti numbers and the intersection form of the 4-manifold.

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Riccardo Piergallini, Daniele Zuddas. 2021-01-12. Branched coverings of $CP^2$ and other basic 4-manifolds. https://doi.org/10.1112/blms.12463

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