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

Michael A. Hill; Michael J. Hopkins; Douglas C. Ravenel

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

Algebraic Topology 2015-10-22 v1

Authors: Michael A. Hill , Michael J. Hopkins , Douglas C. Ravenel

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.

Keywords

slice spectral sequence slice filtration $RO(C_{p^n})$-graded suspension Eilenberg-MacLane spectrum Mackey functor sphere spectrum

Cite

@article{arxiv.1510.06056,
  title  = {The Slice Spectral Sequence for certain $RO(C_{p^n})$-graded Suspensions of $H\underline{\mathbb Z}$},
  author = {Michael A. Hill and Michael J. Hopkins and Douglas C. Ravenel},
  journal= {arXiv preprint arXiv:1510.06056},
  year   = {2015}
}

Comments

25 pages, 3 figures, comments welcome!

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

Abstract

Keywords

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