{"paper":{"title":"Elliptic Operators and Higher Signatures","license":"","headline":"","cross_cats":["math.KT","math.OA"],"primary_cat":"math.DG","authors_text":"Eric Leichtnam, Paolo Piazza","submitted_at":"2004-06-01T17:29:25Z","abstract_excerpt":"Building on the theory of elliptic operators, we give a unified treatment of the following topics:\n - the problem of homotopy invariance of Novikov's higher signatures on closed manifolds;\n - the problem of cut-and-paste invariance of Novikov's higher signatures on closed manifolds;\n - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0406020","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"}