English

Boundaries of Kleinian groups

Geometric Topology 2019-02-07 v1 Group Theory

Abstract

We review the theory of splittings of hyperbolic groups, as determined by the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe limit sets of Kleinian groups up to homeomorphism.

Keywords

Cite

@article{arxiv.1609.02377,
  title  = {Boundaries of Kleinian groups},
  author = {Peter Haïssinsky and Luisa Paoluzzi and Genevieve Walsh},
  journal= {arXiv preprint arXiv:1609.02377},
  year   = {2019}
}

Comments

16 pages, 3 figures, to appear the the Illinois Journal of Mathematics (special Haken issue)

R2 v1 2026-06-22T15:43:50.890Z