On some convex cocompact groups in real hyperbolic space

Desgroseilliers, Marc; Haglund, Frédéric

doi:10.2140/gt.2013.17.2431

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On some convex cocompact groups in real hyperbolic space

Marc Desgroseilliers and Frédéric Haglund

Geometry & Topology 17 (2013) 2431–2484

DOI: 10.2140/gt.2013.17.2431

Abstract

We generalize to a wider class of hyperbolic groups a construction by Misha Kapovich yielding convex cocompact representations into real hyperbolic space.

Keywords

$\mathrm{CAT}(0)$ polygonal complexes, Coxeter groups, separable subgroups, convex cocompact representations, real hyperbolic spaces

Mathematical Subject Classification 2010

Primary: 20E26, 20F67, 22E40, 51F15, 57M20

Secondary: 20F55, 20F65, 20H10, 53C23

References

Publication

Received: 13 February 2012

Revised: 3 June 2013

Accepted: 21 January 2013

Published: 23 August 2013

Proposed: Jean-Pierre Otal

Seconded: Danny Calegari, Walter Neumann

Authors

Marc Desgroseilliers
Laboratoire de théorie de l’information École Polytechnique Fédérale de Lausanne INR 140 (Bâtiment INR) Station 14 CH-1015 Lausanne Switzerland

Frédéric Haglund
Laboratoire de Mathématiques Université de Paris XI (Paris-Sud) 91405 Orsay France

Volume 17, issue 4 (2013)