{ "id": "1510.06056", "version": "v1", "published": "2015-10-20T20:51:24.000Z", "updated": "2015-10-20T20:51:24.000Z", "title": "The Slice Spectral Sequence for certain $RO(C_{p^n})$-graded Suspensions of $H\\underline{\\mathbb Z}$", "authors": [ "Michael A. Hill", "Michael J. Hopkins", "Douglas C. Ravenel" ], "comment": "25 pages, 3 figures, comments welcome!", "categories": [ "math.AT" ], "abstract": "We study the slice filtration and associated spectral sequence for a family of $RO(C_{p^{n}})$-graded suspensions of the Eilenberg-MacLane spectrum for the constant Mackey functor $\\underline{\\mathbb Z}$. Since $H\\underline{\\mathbb Z}$ is the zero slice of the sphere spectrum, this begins an analysis of how one can describe the slices of a suspension in terms of the original slices.", "revisions": [ { "version": "v1", "updated": "2015-10-20T20:51:24.000Z" } ], "analyses": { "keywords": [ "slice spectral sequence", "graded suspensions", "constant mackey functor", "sphere spectrum", "zero slice" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable" } } }