English

Countable modular groups of infinite type surfaces

Geometric Topology 2024-08-26 v2

Abstract

We prove that every orientable infinite type surface without boundary and finite genus has a Riemann surface structure such that its modular group of quasiconformal homeomorphisms is countable.

Keywords

Cite

@article{arxiv.2310.12388,
  title  = {Countable modular groups of infinite type surfaces},
  author = {Rogelio Niño Hernández},
  journal= {arXiv preprint arXiv:2310.12388},
  year   = {2024}
}

Comments

12 pages, 8 figures. Corrections based on referee report

R2 v1 2026-06-28T12:55:02.910Z