{"paper":{"title":"Extended simplicial rational Nomizu's Theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR"],"primary_cat":"math.AT","authors_text":"Hisashi Kasuya","submitted_at":"2014-10-13T02:13:41Z","abstract_excerpt":"For a torsion-free virtually polycyclic group $\\Gamma$, we give a canonical homomorphism form certain finite-dimensional cochain complex to the $\\Q$-polynomial de Rham complex of the simplicial classifying space $B\\Gamma$ which induces a cohomology isomorphism. By this result, we obtain the Sullivan's minimal model of certain differential graded algebra defined on $B\\Gamma$ and we obtain new examples of hard Lefschetz symplectic manifolds and hard Lefschetz contact manifolds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.3176","kind":"arxiv","version":4},"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"}