{"paper":{"title":"Espace de Modules Marques des Surfaces Projectives Convexes de Volume Fini","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.GT","authors_text":"Ludovic Marquis","submitted_at":"2009-10-30T11:28:44Z","abstract_excerpt":"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 $\\beta_f(\\Sigma_{g,p})$ of the convex projective structure on the surface $\\Sigma_{g,p}$ of genius $g$ with $p$ punctures is homeomorphic to $\\R^{16g-16+6p}$. Finally, we show that $\\beta_f(\\Sigma_{g,p})$ can be identify with a connected component of the space of representation of the fundamental group of $\\Sigma_{g,p}$ in $SL(3,R)$ which keep the parabolic modulo conjugaison."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0910.5839","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}