An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces
arXiv:2510.18255 · doi:10.1007/s10711-026-01091-0
Abstract
Apisa-Wright conjectured that all branched covers of quadratic differentials in with at most one cylinder in each direction are cyclic covers. We provide infinitely many counterexamples to this conjecture.
Final version