The 5–local homotopy ofeo₄

Abstract

We compute the cohomology of a 5-local analogue of the Weierstrass Hopf algebroid used to compute t mf -homology. We also compute the Adams-Novikov differentials for various stages, finding the homotopy, V .0/-homology and V .1/-homology of the putative spectrum eo 4 . We also link this computation to the homotopy of the higher real K -theory spectrum EO 4 . 55T25, 18G40, 55N35; 55Q51, 18G60