1. Branched covers between 2-spheres
- Author
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Meng, Yingjie, Wei, Zhiqiang, and Zhou, Chuankai
- Subjects
Mathematics - Geometric Topology ,57M12 - Abstract
By leveraging techniques from complex analysis and topology, we have uncovered a remarkable property of branched covers and formulated a criterion for the existence of specific types of branched covers between 2-spheres. This criterion extends the findings previously reported by Jiang (2004), Pervova-Petronio (2006), Zhu (2019), and Wei-Wu-Xu (2024). Furthermore, as an application of our criterion, we introduce several novel exceptional branching datum., Comment: 17 pages. All suggestions are welcome
- Published
- 2024