Convex Foliated Projective Structures and the Hitchin Component for PSL(4,R)

Abstract : 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).
Type de document :
Pré-publication, Document de travail
2007


https://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
Document(s) archivé(s) le : mardi 21 septembre 2010 - 13:19:44

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Olivier Guichard, Anna Wienhard. Convex Foliated Projective Structures and the Hitchin Component for PSL(4,R). 2007. <hal-00129374v2>

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