{"paper":{"title":"Desingularization of Lie groupoids and pseudodifferential operators on singular spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP","math.OA","math.SG"],"primary_cat":"math.DG","authors_text":"Victor Nistor","submitted_at":"2015-12-29T08:11:12Z","abstract_excerpt":"We introduce and study a \"desingularization\" of a Lie groupoid $G$ along an \"$A(G)$-tame\" submanifold $L$ of the space of units $M$. An $A(G)$-tame submanifold $L \\subset M$ is one that has, by definition, a tubular neighborhood on which $A(G)$ becomes a thick pull-back Lie algebroid. The construction of the desingularization $[[G:L]]$ of $G$ along $L$ is based on a canonical fibered pull-back groupoid structure result for $G$ in a neighborhood of the tame $A(G)$-submanifold $L \\subset M$. This local structure result is obtained by integrating a certain groupoid morphism, using results of Moer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08613","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"}