{"paper":{"title":"On Gromov's positive scalar curvature conjecture for virtual duality groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT","math.DG","math.GN"],"primary_cat":"math.GT","authors_text":"Alexander Dranishnikov","submitted_at":"2013-12-10T16:23:53Z","abstract_excerpt":"We prove the inequality $$ \\dim_{mc}\\Wi M\\le n-2$$ for the macroscopic dimension of the universal covers $\\Wi M$ of almost spin $n$-manifolds $M$ with positive scalar curvature whose fundamental group $\\pi_1(M)$ is a virtual duality group that satisfies the coarse Baum-Connes conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.2857","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"}