English

Bounding shears of spiralling triangulations on hyperbolic surfaces

Geometric Topology 2025-12-11 v1

Abstract

We show that all hyperbolic surfaces admit an ideal triangulation with bounded shear parameters. This upper bound depends logarithmically on the topology of the surface.

Keywords

Cite

@article{arxiv.2512.09818,
  title  = {Bounding shears of spiralling triangulations on hyperbolic surfaces},
  author = {Marie Abadie},
  journal= {arXiv preprint arXiv:2512.09818},
  year   = {2025}
}

Comments

17 pages, 10 Figures

R2 v1 2026-07-01T08:19:07.316Z