Primitive stable representations of geometrically infinite handlebody hyperbolic 3-manifolds

Jeon, Woojin; Kim, Inkang

doi:10.1016/j.crma.2010.07.015

Geometry

Primitive stable representations of geometrically infinite handlebody hyperbolic 3-manifolds
[Représentations primitivement stables des variétés hyperboliques géométriquement infinies du bretzel creux]

Présenté par : Étienne Ghys

Jeon, Woojin ¹ ; Kim, Inkang ²

¹ Department of Mathematics, Seoul National University, San 56-1, Sinlim-dong, Gwanak-ku, Seoul 151-747, Republic of Korea
² School of Mathematics, KIAS, Heogiro 87, Dongdaemen-gu, Seoul 130-722, Republic of Korea

Comptes Rendus. Mathématique, Tome 348 (2010) no. 15-16, pp. 907-910.

Résumé
Abstract

Nous démontrons qu'une représentation discrète, fidèle du groupe libre dans $PSL (2, C)$ sans parabolique est primitivement stable.

In this Note we show that a discrete faithful representation of a free group in $PSL (2, C)$ without parabolics is primitive stable.

Reçu le : 2010-02-17
Accepté le : 2010-07-15
Publié le : 2010-07-27

DOI : 10.1016/j.crma.2010.07.015

Affiliations des auteurs :

Jeon, Woojin ¹ ; Kim, Inkang ²

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Jeon, Woojin; Kim, Inkang. Primitive stable representations of geometrically infinite handlebody hyperbolic 3-manifolds. Comptes Rendus. Mathématique, Tome 348 (2010) no. 15-16, pp. 907-910. doi : 10.1016/j.crma.2010.07.015. http://www.numdam.org/articles/10.1016/j.crma.2010.07.015/

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