The homotopy groups of the E(2) local sphere at p > 3 revisited
Algebraic Topology
2012-03-26 v4
Abstract
We present a new technique for analyzing the v_0-Bockstein spectral sequence studied by Shimomura and Yabe. Employing this technique, we derive a conceptually simpler presentation of the homotopy groups of the E(2)-local sphere for p > 3. We identify and correct some errors in the original Shimomura-Yabe calculation. We deduce the related K(2)-local homotopy groups, and discuss their manifestation of Gross-Hopkins duality.
Keywords
Cite
@article{arxiv.1002.0807,
title = {The homotopy groups of the E(2) local sphere at p > 3 revisited},
author = {Mark Behrens},
journal= {arXiv preprint arXiv:1002.0807},
year = {2012}
}
Comments
36 pages, 17 figures. Final version to appear in Adv. Math