On some convex cocompact groups in real hyperbolic space

Desgroseilliers, Marc¹ ; Haglund, Frédéric²

¹ Laboratoire de théorie de l’information, École Polytechnique Fédérale de Lausanne, INR 140 (Bâtiment INR), Station 14, CH-1015 Lausanne, Switzerland
² Laboratoire de Mathématiques, Université de Paris XI (Paris-Sud), 91405 Orsay, France

Geometry & topology, Tome 17 (2013) no. 4, pp. 2431-2484.

Résumé

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

Détail

DOI : 10.2140/gt.2013.17.2431

Classification : 20E26, 20F67, 22E40, 51F15, 57M20, 20F55, 20F65, 20H10, 53C23
Keywords: $\mathrm{CAT}(0)$ polygonal complexes, Coxeter groups, separable subgroups, convex cocompact representations, real hyperbolic spaces

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