{"paper":{"title":"Topological K-Theory for Hilbert Scheme Analogs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.CO"],"primary_cat":"math.AT","authors_text":"Ammar Husain","submitted_at":"2017-12-12T18:58:16Z","abstract_excerpt":"In geometric representation theory, it is common to compute equivariant $K$ theory of schemes like $Hilb^n ( \\mathbb{A}^2 )$ or $Hilb^n (X)$ for an ALE resolution $X \\to \\mathbb{A}^2 / \\Gamma$. If we abandon the algebraic nature and just look at this homotopically we see close relatives of $BS_n$ and $B(\\Gamma \\wr S_n)$. Therefore we compute the topological K theory of these classifying spaces to fill in a small gap in the literature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.04976","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"}