{"paper":{"title":"An Injectivity Theorem for Casson-Gordon Type Representations relating to the Concordance of Knots and Links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Mark Powell, Stefan Friedl","submitted_at":"2010-11-21T16:51:39Z","abstract_excerpt":"In the study of homology cobordisms, knot concordance and link concordance, the following technical problem arises frequently: let $\\pi$ be a group and let $M \\to N$ be a homomorphism between projective $\\Z[\\pi]$-modules such that $\\Z_p \\otimes_{\\Z[\\pi]} M\\to \\Z_p \\otimes_{\\Z[\\pi]} N$ is injective; for which other right $\\Z[\\pi]$-modules $V$ is the induced map $V \\otimes_{\\Z[\\pi]} M\\to V\\otimes_{\\Z[\\pi]}N$ also injective? Our main theorem gives a new criterion which combines and generalizes many previous results."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4678","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"}