An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866910262211117056 |
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| author | Abdalla, Malak Brown, Gabriela |
| author_facet | Abdalla, Malak Brown, Gabriela |
| contents | Apisa-Wright conjectured that all branched covers of quadratic differentials in $\mathcal{Q}(-1^4)$ with at most one cylinder in each direction are cyclic covers. We provide infinitely many counterexamples to this conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18255 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces Abdalla, Malak Brown, Gabriela Dynamical Systems Geometric Topology 30F30, 37D40, 32G15, 20F36 Apisa-Wright conjectured that all branched covers of quadratic differentials in $\mathcal{Q}(-1^4)$ with at most one cylinder in each direction are cyclic covers. We provide infinitely many counterexamples to this conjecture. |
| title | An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces |
| topic | Dynamical Systems Geometric Topology 30F30, 37D40, 32G15, 20F36 |
| url | https://arxiv.org/abs/2510.18255 |