The 5-local homotopy of $e{o}_4$

Abstract

We compute the 5-local cohomology of a 5-local analogue of the Weierstrass Hopf algebroid used to compute $tmf$ homology. We compute the Adams-Novikov differentials in the cohomology, giving the homotopy, V(0)-homology, and V(1)-homology of the putative spectrum $e{o}_4$. We also link this computation to the homotopy of the higher real $K$-theory spectrum $E{O}_4$.

15 pages, 7 figures

References in corpus (1)

• Computation of the homotopy of the spectrum tmf