Mathematics – Algebraic Topology
Scientific paper
2008-09-02
Mathematics
Algebraic Topology
15 pages, 7 figures
Scientific paper
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 $eo_4$. We also link this computation to
the homotopy of the higher real $K$-theory spectrum $EO_4$.
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