Espace de Modules Marques des Surfaces Projectives Convexes de Volume Fini

الأصل · EN

This article follow the article http://hal.archives-ouvertes.fr/hal-00361030/fr/ in which the author characterize the fact of being of finite volume for a convex projective surface. We show here that the moduli space βf(Σg,ₚ) of the convex projective structure on the surface Σg,ₚ of genius g with p punctures is homeomorphic to ¹⁶ᵍ⁻¹⁶⁺⁶ᵖ. Finally, we show that βf(Σg,ₚ) can be identify with a connected component of the space of representation of the fundamental group of Σg,ₚ in SL(3,R) which keep the parabolic modulo conjugaison.