{"paper":{"title":"$PD_4$-complexes and 2-dimensional duality groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Jonathan A. Hillman","submitted_at":"2013-03-21T23:53:07Z","abstract_excerpt":"This paper is a synthesis and extension of three earlier papers on $PD_4$-complexes $X$ with fundamental group $\\pi$ such that $c.d.\\pi=2$ and $\\pi$ has one end. Our goal is to show that the homotopy types of such complexes are determined by $\\pi$, the Stiefel-Whitney classes and the equivariant intersection pairing on $\\pi_2(X)$. We achieve this under further conditions on $\\pi$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.5486","kind":"arxiv","version":8},"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"}