Title of Paper:
The homotopy groups $\pi_*(L_2S^0)$ at the prime 3
Authors:
Katsumi Shimomura and Xiangjun Wang
AMS Classification numbers:
55Q45, 55Q52
Address of Authors:
Department of Mathematics,
Faculty of Science,
Kochi University,
Kochi, 780-8520,
Japan
Email addresses of Authors:
katsumi@math.kochi-u.ac.jp
xwang@math.kochi-u.ac.jp
Text of Abstruct:
The homotopy groups $\pi_*(L_2S^0)$ of the $L_2$-localized sphere are
determined by studying the Bockstein spectral sequence.
The results indicate also the homotopy groups $\pi_*(L_{K(2)}S^0)$
and we see that the fiber of the localization map $L_2S^0_3\to L_{K(2)}S^0$
is homotopic to $\Sigma^{-2}L_1S^0_3$, while Hopkins' chromatic splitting
conjecture says that it has three summands.
[Editor: this requires the font "min10" to print correctly. I don't
have this font, so the ps, lj, and pdf files may have small
imperfections]
This is a slightly revised version of the one received originally
Sept 1.