Marked points on translation surfaces
arXiv:1708.03411 · doi:10.2140/gt.2021.25.2913
Abstract
We show that all GL(2,R) equivariant point markings over orbit closures of translation surfaces arise from branched covering constructions and periodic points, completely classify such point markings over strata of quadratic differentials, and give applications to the finite blocking problem.
v3: Tiny revision; final copy
References in corpus (3)
Cited by in corpus (8)
- GL(2,R)-Invariant Measures in Marked Strata: Generic Marked Points, Earle-Kra for Strata, and Illumination
- Periodic Points in Genus Two: Holomorphic Sections over Hilbert Modular Varieties, Teichmuller Dynamics, and Billiards
- Reconstructing orbit closures from their boundaries
- Periodic Points of Prym Eigenforms
- Invariant Subvarieties of Minimal Homological Dimension, Zero Lyapunov Exponents, and Monodromy
- Billiards in right triangles and orbit closures in genus zero strata
- Illumination in Rational Billiards
- Quasidiagonals in Strata of Translation Surfaces