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arXiv · 0809.0502

The 5-local homotopy of $eo_4$

Michael A. Hill
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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 $eo_4$. We also link this computation to the homotopy of the higher real $K$-theory spectrum $EO_4$.

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Michael A. Hill. 2008-09-02. The 5-local homotopy of $eo_4$. https://doi.org/10.2140/agt.2008.8.1741

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