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

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.

25 pages, 3 figures, comments welcome!

References in corpus (1)

• On the non-existence of elements of Kervaire invariant one