{"paper":{"title":"Algebraic Cycles Representing Cohomology Operations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.AT","authors_text":"Marie-Louise Michelsohn","submitted_at":"2016-06-17T18:40:52Z","abstract_excerpt":"In this paper we show that certain universal homology classes which are fundamental in topology are algebraic. To be specific, the products of Eilenberg-MacLane spaces ${\\cal K}_{2q} \\equiv K({\\Bbb Z},2) \\times K({\\Bbb Z}, 4) \\times ... \\times K({\\Bbb Z}, 2q)$ have models which are limits of complex projective varieties. Precisely, we have ${\\cal K}_{2q} = \\lim_{d\\to\\infty}{\\cal C}_d^q({\\Bbb P}^n)$ where ${\\cal C}_d^q({\\Bbb P}^n)$ denotes the Chow variety of effective cycles of codimension $q$ and degree $d$ on ${\\Bbb P}^n$. It is natural to ask which elements in the homology of ${\\cal K}_{2q}"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.05617","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"}