{"paper":{"title":"L-infinity structures on mapping cones","license":"","headline":"","cross_cats":["math.AG"],"primary_cat":"math.QA","authors_text":"Domenico Fiorenza, Marco Manetti","submitted_at":"2006-01-13T08:54:04Z","abstract_excerpt":"We show that the mapping cone of a morphism of differential graded Lie algebras $\\chi\\colon L\\to M$ can be canonically endowed with an $L_\\infty$-algebra structure which at the same time lifts the Lie algebra structure on $L$ and the usual differential on the mapping cone. Moreover, this structure is unique up to isomorphisms of $L_\\infty$-algebras. The associated deformation functor coincides with the one introduced by the second author in arXiv:math.AG/0507287."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601312","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"}