New York Journal of Mathematics
Volume 30 (2024), 231-269


Hirofumi Nakai and Douglas C. Ravenel

The method of infinite descent in stable homotopy theory II

view    print

Published: February 15, 2024.
Keywords: stable homotopy groups of spheres, Adams-Novikov spectral sequence, Cartan-Eilenberg spectral sequence.
Subject [2010]: 55Q10, 55Q45, 55Q51, 55T05.

This paper is a continuation of [Rav02] of the same title, which we will refer hereafter to as [I], which intends to clarify and expand the results in the last chapter of [Rav86] ("the green book"). In particular, we give the stable homotopy groups of p-local spectra T(m)(1) for m>0. This is a part of a program to compute the p-components of π*(S0) through dimension 2p4(p-1) for p>2. We will refer to the results from [I] freely as if they were in the first four sections of this paper, which begins with Section 5.



Author information

Hirofumi Nakai
Tokyo City University
1-28-1 Tamazutsumi
Tokyo 158-8557, Japan


Douglas C. Ravenel
Department of Mathematics
University of Rochester
Rochester, NY 14627, USA