An infinite family of non-cyclic 1-cylinder pillowcase-tiled surfaces
Abstract
Abstract Apisa-Wright conjectured that all branched covers of quadratic differentials in $$\mathcal {Q}(-1^4)$$ Q ( - 1 4 ) with at most one cylinder in each direction are cyclic covers. We provide infinitely many counterexamples to this conjecture.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Geometric and Algebraic Topology
Geometric Analysis and Curvature Flows
Publication details
- Journal / source
- Geometriae Dedicata
- Publisher
- Springer Science and Business Media LLC
- Volume
- 220
- Issue
- 4
- Publication date
- 26 May 2026
- Language
- EN