Illinois Journal of Mathematics

Boundaries of Kleinian groups

Peter Haïssinsky, Luisa Paoluzzi, and Genevieve Walsh

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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.

Article information

Source
Illinois J. Math., Volume 60, Number 1 (2016), 353-364.

Dates
Received: 10 June 2016
Revised: 1 September 2016
First available in Project Euclid: 21 June 2017

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1498032035

Mathematical Reviews number (MathSciNet)
MR3665183

Zentralblatt MATH identifier
06734374

Subjects
Primary: 20F67: Hyperbolic groups and nonpositively curved groups 30F40: Kleinian groups [See also 20H10]
Secondary: 57N16: Geometric structures on manifolds [See also 57M50]

Citation

Haïssinsky, Peter; Paoluzzi, Luisa; Walsh, Genevieve. Boundaries of Kleinian groups. Illinois J. Math. 60 (2016), no. 1, 353--364. https://projecteuclid.org/euclid.ijm/1498032035


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