{"paper":{"title":"Conformally Equivariant Quantization - a Complete Classification","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jean-Philippe Michel","submitted_at":"2011-02-20T11:48:32Z","abstract_excerpt":"Conformally equivariant quantization is a peculiar map between symbols of real weight $\\delta$ and differential operators acting on tensor densities, whose real weights are designed by $\\lambda$ and $\\lambda+\\delta$. The existence and uniqueness of such a map has been proved by Duval, Lecomte and Ovsienko for a generic weight $\\delta$. Later, Silhan has determined the critical values of $\\delta$ for which unique existence is lost, and conjectured that for those values of $\\delta$ existence is lost for a generic weight $\\lambda$. We fully determine the cases of existence and uniqueness of the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4065","kind":"arxiv","version":3},"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"}