English

The Method of Infinite Descent in Stable Homotopy Theory II

Algebraic Topology 2018-06-29 v1

Abstract

This paper is a continuation of the version I of the same title, which intends to clarify and expand the results in the last chapter of `the green book' by the second author. In particular, we give the stable homotopy groups of pp-local spectra T(m)(1)T(m)_{(1)} for m>0m>0. This is a part of a program to compute the pp-components of π(S0)\pi_{*}(S^{0}) through dimension 2p4(p1)2p^{4}(p-1) for p>2p>2. We will refer to the results from the version I freely as if they were in the first four sections of this paper, which begins with section 5.

Keywords

Cite

@article{arxiv.1806.10892,
  title  = {The Method of Infinite Descent in Stable Homotopy Theory II},
  author = {Hirofumi Nakai and Douglas C. Ravenel},
  journal= {arXiv preprint arXiv:1806.10892},
  year   = {2018}
}

Comments

32 pages, 3 figures