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arxiv: 1510.06056 · v1 · pith:NKTJPMB6new · submitted 2015-10-20 · 🧮 math.AT

The Slice Spectral Sequence for certain RO(C_(p^n))-graded Suspensions of Hunderline{mathbb Z}

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keywords mathbbsliceunderlinegradedsequenceslicesspectralspectrum
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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.

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