no. 17-18
Geometry/Topology
Domains of discontinuity for surface groups

Presented by: Jean-Michel Bismut

Guichard, Olivier1, 2; Wienhard, Anna3
1 CNRS, laboratoire de mathématiques d'Orsay, 91405 Orsay cedex, France
2 Université Paris-Sud, 91405 Orsay cedex, France
3 Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA
Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1057-1060.

Let Σ be a closed connected orientable surface of negative Euler characteristic and G a semisimple Lie group. For any Anosov representation ρ:π1(Σ)→G we construct domains of discontinuity with compact quotient for the action of π1(Σ) on flag varieties G/Q.

Soit π1(Σ) le groupe fondamental d'une surface de Riemann connexe, fermée et de genre supérieur et soit G un groupe de Lie semi-simple. Pour toute représentation Anosov ρ:π1(Σ)→G, nous construisons un ouvert de la variété drapeau G/Q sur lequel π1(Σ) agit proprement avec quotient compact.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2009.06.013
Guichard, Olivier 1, 2; Wienhard, Anna 3

1 CNRS, laboratoire de mathématiques d'Orsay, 91405 Orsay cedex, France
2 Université Paris-Sud, 91405 Orsay cedex, France
3 Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ 08544-1000, USA 
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Guichard, Olivier; Wienhard, Anna. Domains of discontinuity for surface groups. Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, pp. 1057-1060. doi : 10.1016/j.crma.2009.06.013. http://www.numdam.org/articles/10.1016/j.crma.2009.06.013/

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