Yingjie Meng, Zhiqiang Wei, Chuankai Zhou
Published 2024-11-13, updated 2024-12-02Version 2
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.
Comments: 17 pages. All suggestions are welcome
Volumes of fibered 2-fold branched covers of 3-manifolds
Banchoff's sphere and branched covers over the trefoil
Compact Stein surfaces as branched covers with same branch sets
![QR code for arXiv:2411.08336 [math.GT]](http://oss.arxitics.com/images/favicon.svg)