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arXiv · 2510.18255

An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces

Malak Abdalla·Gabriela Brown
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Abstract

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.

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Malak Abdalla, Gabriela Brown. 2025-10-21. An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces. https://doi.org/10.1007/s10711-026-01091-0

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