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| HAL : hal-00129374, version 2 |
| arXiv : math/0702184 |
| Fiche détaillée |  Récupérer au format |
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| Versions disponibles : | v1 (07-02-2007) | v2 (05-06-2007) |
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| Convex Foliated Projective Structures and the Hitchin Component for PSL(4,R) |
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| Olivier Guichard 1Anna Wienhard 2 |
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| (07/02/2007) |
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| In this article we give a geometric interpretation of the Hitchin component for PSL(4,R) in the representation variety of a closed oriented surface of higher genus. We show that representations in the Hitchin component are precisely the holonomy representations of properly convex foliated projective structures on the unit tangent bundle of the surface. From this we also deduce a geometric description of the Hitchin component the symplectic group PSp(4,R). |
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| 1 : | Laboratoire de Mathématiques d'Orsay (LM-Orsay) |
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CNRS : UMR8628 – Université Paris XI - Paris Sud |
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| 2 : | Department of Mathematics (MATH-CHICAGO) |
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University of Chicago |
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| Domaine | : | Mathématiques/Géométrie différentielle |
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| Surface Groups – Hitchin Component – Projective Structures |
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| Liste des fichiers attachés à ce document : | ||||||||||
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| hal-00129374, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00129374 | |
| oai:hal.archives-ouvertes.fr:hal-00129374 | |
| Contributeur : Olivier Guichard | |
| Soumis le : Mardi 5 Juin 2007, 15:33:53 | |
| Dernière modification le : Mardi 5 Juin 2007, 17:23:21 | |
