New York Journal of Mathematics
Volume 6 (2000) 21-54


Hirofumi Nakai

The Chromatic E1-term H0M12 for p>3

Published: February 1, 2000
Keywords: Stable homotopy of spheres, Adams-Novikov spectral sequence, chromatic spectral sequence
Subject: 55Q45; secondary 55Q51, 55T15, 55N22

In this paper, study the module structure of
ExtBP*BP0(BP*, BP*/(p , v1 , v2 )),
which is regarded as the chromatic E1-term converging to the second line of the Adams-Novikov E2-term for the Moore spectrum. The main difficulty here is to construct elements x(spr/j;k) from the Miller-Ravenel-Wilson elements (x3,rs/v2j)pk ∈ H0M21. We achieve this by developing some inductive methods of constructing x(spr/j;k) on k.

Author information

Department of Mathematics, Faculty of Science, Osaka City University