{"paper":{"title":"Equivariant triple intersections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.GT","authors_text":"Delphine Moussard","submitted_at":"2014-03-03T14:41:40Z","abstract_excerpt":"Given a null-homologous knot $K$ in a rational homology 3-sphere $M$, and the standard infinite cyclic covering $\\tilde{X}$ of $(M,K)$, we define an invariant of triples of curves in $\\tilde{X}$, by means of equivariant triple intersections of surfaces. We prove that this invariant provides a map $\\phi$ on $\\Al^{\\otimes 3}$, where $\\Al$ is the Alexander module of $(M,K)$, and that the isomorphism class of $\\phi$ is an invariant of the pair $(M,K)$. For a fixed Blanchfield module $(\\Al,\\bl)$, we consider pairs $(M,K)$ whose Blanchfield modules are isomorphic to $(\\Al,\\bl)$, equipped with a mark"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0446","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"}