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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.08336 |
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| _version_ | 1866908307796525056 |
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| author | Meng, Yingjie Wei, Zhiqiang Zhou, Chuankai |
| author_facet | Meng, Yingjie Wei, Zhiqiang Zhou, Chuankai |
| contents | Building on techniques from complex analysis and topology, we establish a remarkable property of branched covers and formulate a complete criterion for the existence of specific types of branched covers between 2-spheres. Our results extend and unify previous work by Jiang (2004), Pervova-Petronio (2006), Zhu (2019), and Wei-Wu-Xu (2024). As applications of our criterion, we present several new families of exceptional branching data. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08336 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Existence of Branched covers $S^{2}\rightarrow S^{2}$ with prescribed branching data Meng, Yingjie Wei, Zhiqiang Zhou, Chuankai Geometric Topology 57M12 Building on techniques from complex analysis and topology, we establish a remarkable property of branched covers and formulate a complete criterion for the existence of specific types of branched covers between 2-spheres. Our results extend and unify previous work by Jiang (2004), Pervova-Petronio (2006), Zhu (2019), and Wei-Wu-Xu (2024). As applications of our criterion, we present several new families of exceptional branching data. |
| title | Existence of Branched covers $S^{2}\rightarrow S^{2}$ with prescribed branching data |
| topic | Geometric Topology 57M12 |
| url | https://arxiv.org/abs/2411.08336 |