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Published: 
February 1, 2000

Keywords: 
Stable homotopy of spheres, AdamsNovikov spectral sequence, chromatic spectral sequence

Subject: 
55Q45; secondary 55Q51, 55T15, 55N22

Abstract:

In this paper, study the module structure of
\[{\rm Ext}_{BP_*BP}^0(BP_*, BP_*/(p , v_1^\infty , v_2^\infty )),\]
which is regarded as the chromatic $E_1$term converging to the second line
of the AdamsNovikov $E_2$term for the Moore spectrum.
The main difficulty here is to construct elements $x(sp^r/j;k)$
from the MillerRavenelWilson elements
$(x_{3,r}^s/v_2^j)^{p^k} \in H^0M_2^1$.
We achieve this by developing some inductive methods of constructing
$x(sp^r/j;k)$ on $k$.

Author information:
Department of Mathematics, Faculty of Science, Osaka City University
nakai@sci.osakacu.ac.jp
http://www.sci.osakacu.ac.jp/~nakai/
 