{"paper":{"title":"C-gluing construction and slices of quasi-Fuchsian space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Sara Maloni","submitted_at":"2019-02-07T23:03:56Z","abstract_excerpt":"Given a pants decomposition $\\mathcal{PC} = \\{\\gamma_1, \\ldots, \\gamma_{\\xi}\\}$ on a hyperbolizable surface $\\Sigma$ and a vector $\\underline{c} = (c_1, \\ldots, c_{\\xi}) \\in \\mathbb{R}_+^\\xi$, we describe a plumbing construction which endows $\\Sigma$ with a complex projective structure for which the associated holonomy representation $\\rho$ is quasi-Fuchsian and for which $\\ell_\\rho(\\gamma_i) = c_i$. When $\\underline{c} \\to \\underline{0} = (0, \\ldots, 0)$ this construction limits to Kra's plumbing construction. In addition, when $\\Sigma = \\Sigma_{1,1}$, the holonomy representations of these st"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.02878","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"}