{ "id": "1801.04273", "version": "v1", "published": "2018-01-12T18:01:38.000Z", "updated": "2018-01-12T18:01:38.000Z", "title": "Integral cohomology of configuration spaces of the sphere", "authors": [ "Christoph Schiessl" ], "comment": "21 pages", "categories": [ "math.AT" ], "abstract": "We compute the cohomology of the unordered configuration spaces of the sphere $S^2$ with integral and with $\\mathbb{Z}/p \\mathbb{Z}$-coefficients using a cell complex by Fuks, Vainshtein and Napolitano.", "revisions": [ { "version": "v1", "updated": "2018-01-12T18:01:38.000Z" } ], "analyses": { "keywords": [ "integral cohomology", "cell complex", "unordered configuration spaces", "coefficients" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }