{"paper":{"title":"Holonomy map fibers of $\\mathbb{C}{\\rm P}^1$-structures in moduli space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.GT","authors_text":"Shinpei Baba, Subhojoy Gupta","submitted_at":"2014-02-21T23:12:35Z","abstract_excerpt":"Let $S$ be a closed oriented surface of genus $g\\geq 2$. Fix an arbitrary non-elementary representation $\\rho\\colon\\pi_1(S)\\to {\\rm SL}_2(\\mathbb{C})$ and consider all marked (complex) projective structures on $S$ with holonomy $\\rho$. We show that their underlying conformal structures are dense in the moduli space of $S$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.5445","kind":"arxiv","version":2},"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"}