# An explicit formula for a branched covering from $\mathbb{CP}^2$ to $S^4$

## TL;DR

This paper presents an explicit formula for a 2-fold branched covering from complex projective plane to the 4-sphere, connecting it with other quotient maps of product spheres.

## Contribution

It provides the first explicit formula for such a branched covering from al^2 to S^4, linking it to known quotient maps.

## Key findings

- Explicit formula for the branched covering
- Relation to quotient maps of S^2  S^2
- Advances understanding of mappings between complex and real 4-manifolds

## Abstract

We give an explicit formula for a 2-fold branched covering from $\mathbb{CP}^2$ to $S^4$, and relate it to other maps between quotients of $S^2\times{S^2}$.