Domains of discontinuity for surface groups
نویسندگان
چکیده
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. To cite this article: O. Guichard, A. Wienhard, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved. Résumé Quotients compacts et groupes de surfaces. 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. Pour citer cet article : O. Guichard, A. Wienhard, C. R. Acad. Sci. Paris, Ser. I 347 (2009). © 2009 Académie des sciences. Published by Elsevier Masson SAS. All rights reserved.
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