{"paper":{"title":"Global formality at the $G_\\infty$-level","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.QA","authors_text":"Damien Calaque, Michel Van den Bergh","submitted_at":"2007-10-24T16:43:18Z","abstract_excerpt":"In this paper we prove that the sheaf of $\\Lscr$-poly-differential operators for a locally free Lie algebroid $\\Lscr$ is formal when viewed as a sheaf of $G_\\infty$-algebras via Tamarkin's morphism of DG-operads $G_\\infty\\r B_\\infty$.\n  In an appendix we prove a strengthening of Halbout's globalization result for Tamarkin's local quasi-isomorphism."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0710.4510","kind":"arxiv","version":5},"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"}