{ "id": "2410.00560", "version": "v1", "published": "2024-10-01T10:20:21.000Z", "updated": "2024-10-01T10:20:21.000Z", "title": "The $\\mathbb{F}_2$-cohomology rings of 3-manifolds", "authors": [ "Jonathan A. Hillman" ], "categories": [ "math.GT" ], "abstract": "We give a new argument for the characterization of the cohomology rings of closed 3-manifolds with coefficients $\\mathbb{F}_2$, first given by M. M. Postnikov (in terms of intersection rings) in 1948", "revisions": [ { "version": "v1", "updated": "2024-10-01T10:20:21.000Z" } ], "analyses": { "subjects": [ "57M45" ], "keywords": [ "cohomology rings", "intersection rings", "characterization" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }