{"paper":{"title":"Representation spaces for central extensions and almost commuting unitary matrices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.AT","authors_text":"Alejandro Adem, Man Chuen Cheng","submitted_at":"2015-02-18T00:42:50Z","abstract_excerpt":"Let $\\Gamma$ denote a central extension of the form $1\\to \\mathbb{Z}^r\\to\\Gamma\\to \\mathbb{Z}^n\\to 1$. In this paper we describe the topology of the spaces of homomorphisms $\\text{Hom}(\\Gamma, U(m))$ and the associated moduli spaces $\\text{Rep}(\\Gamma, U(m))$, where $U(m)$ is the group of $m\\times m$ unitary matrices."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05092","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"}