We compute the cohomology of a 5–local analogue of the Weierstrass Hopf algebroid used to compute tmf–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 eo4. We also link this computation to the homotopy of the higher real K–theory spectrum EO4.
Hill, Michael A  1
@article{10_2140_agt_2008_8_1741,
author = {Hill, Michael A},
title = {The 5{\textendash}local homotopy of eo4},
journal = {Algebraic and Geometric Topology},
pages = {1741--1761},
year = {2008},
volume = {8},
number = {3},
doi = {10.2140/agt.2008.8.1741},
url = {http://geodesic.mathdoc.fr/articles/10.2140/agt.2008.8.1741/}
}
Hill, Michael A. The 5–local homotopy of eo4. Algebraic and Geometric Topology, Tome 8 (2008) no. 3, pp. 1741-1761. doi: 10.2140/agt.2008.8.1741
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