{"paper":{"title":"Quantization of conic Lagrangian submanifolds of cotangent bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"St\\'ephane Guillermou","submitted_at":"2012-12-23T17:35:00Z","abstract_excerpt":"Let $M$ be a manifold and $\\Lambda$ a compact exact connected Lagrangian submanifold of $T^*M$. We can associate with $\\Lambda$ a conic Lagrangian submanifold $\\Lambda'$ of $T^*(M\\times R)$. We prove that there exists a canonical sheaf $F$ on $M\\times R$ whose microsupport is $\\Lambda'$ outside the zero section. We deduce the already known results that the Maslov class of $\\Lambda$ is $0$ and that the projection from $\\Lambda$ to $M$ induces isomorphisms between the homotopy groups."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5818","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"}