The Slice Spectral Sequence for certain RO(Cpn)RO(C_{p^n})-graded Suspensions of HZ‾H\underline{\mathbb Z}

preprint2015arXivOpen access

Abstract

We study the slice filtration and associated spectral sequence for a family of RO(Cpn)RO(C_{p^{n}})-graded suspensions of the Eilenberg-MacLane spectrum for the constant Mackey functor Z‾\underline{\mathbb Z}. Since HZ‾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.

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