{ "id": "2106.02767", "version": "v1", "published": "2021-06-05T01:18:31.000Z", "updated": "2021-06-05T01:18:31.000Z", "title": "Klein Four 2-slices and the Slices of $Σ^{\\pm n}H\\underline{\\mathbb{Z}}$", "authors": [ "Carissa Slone" ], "comment": "52 pages. Comments welcome", "categories": [ "math.AT" ], "abstract": "We determine a characterization of all 2-slices of equivariant spectra over the Klein four-group $C_2\\times C_2$. We then describe all slices of integral suspensions of the equivariant Eilenberg-MacLane spectrum $H\\underline{\\mathbb{Z}}$ for the constant Mackey functor over $C_2\\times C_2$.", "revisions": [ { "version": "v1", "updated": "2021-06-05T01:18:31.000Z" } ], "analyses": { "subjects": [ "55N91", "55P91", "55Q91" ], "keywords": [ "constant mackey functor", "equivariant eilenberg-maclane spectrum", "equivariant spectra", "klein four-group", "integral suspensions" ], "note": { "typesetting": "TeX", "pages": 52, "language": "en", "license": "arXiv", "status": "editable" } } }