Title: The homotopy of L_2V(1) for the prime 3
Authors: Paul Goerss, Hans-Werner Henn and Mark Mahowald
Adresses:
Northwestern University, Universite Louis Pasteur, Northwestern University
ABSTRACT
Let V(1) be the Toda-Smith complex for the prime 3.
We give a complete calculation of the homotopy groups of the
L_2-localization of V(1) by making use of the
higher real K-theory EO_2 of Hopkins and Miller
and related homotopy fixed point spectra.
In particular we resolve an ambiguity which was left in
an earlier approach of Shimomura whose computation
was almost complete but left an unspecified parameter
still to be determined.