English

Marked points on translation surfaces

Dynamical Systems 2021-12-08 v3 Geometric Topology

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.

Cite

@article{arxiv.1708.03411,
  title  = {Marked points on translation surfaces},
  author = {Paul Apisa and Alex Wright},
  journal= {arXiv preprint arXiv:1708.03411},
  year   = {2021}
}

Comments

v3: Tiny revision; final copy

R2 v1 2026-06-22T21:12:11.686Z