{"paper":{"title":"Symplectic Wick rotations between moduli spaces of 3-manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"primary_cat":"math.DG","authors_text":"Carlos Scarinci, Jean-Marc Schlenker","submitted_at":"2014-11-18T09:17:39Z","abstract_excerpt":"Given a closed hyperbolic surface $S$, let $\\cQF$ denote the space of quasifuchsian hyperbolic metrics on $S\\times\\R$ and $\\cGH_{-1}$ the space of maximal globally hyperbolic anti-de Sitter metrics on $S\\times\\R$. We describe natural maps between (parts of) $\\cQF$ and $\\cGH_{-1}$, called \"Wick rotations\", defined in terms of special surfaces (e.g. minimal/maximal surfaces, CMC surfaces, pleated surfaces) and prove that these maps are at least $C^1$ smooth and symplectic with respect to the canonical symplectic structures on both $\\cQF$ and $\\cGH_{-1}$. Similar results involving the spaces of g"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4772","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"}