English

Basic PU(1,1)-representations of the hyperelliptic group are discrete

Differential Geometry 2022-09-02 v1 Geometric Topology

Abstract

We show that a PU(1,1)-representation of the hyperelliptic group HnH_{n} is basic if and only if it is discrete and faithful, thus partially proving a conjecture by S. Anan'in and E. Bento Gon\c{c}alves in the case of the Poincar\'{e} disc.

Cite

@article{arxiv.2106.09569,
  title  = {Basic PU(1,1)-representations of the hyperelliptic group are discrete},
  author = {Felipe A. Franco},
  journal= {arXiv preprint arXiv:2106.09569},
  year   = {2022}
}

Comments

9 pages, 5 figures

R2 v1 2026-06-24T03:19:10.608Z