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2008 The $5$–local homotopy of $eo_4$
Michael A Hill
Algebr. Geom. Topol. 8(3): 1741-1761 (2008). DOI: 10.2140/agt.2008.8.1741

Abstract

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.

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Michael A Hill. "The $5$–local homotopy of $eo_4$." Algebr. Geom. Topol. 8 (3) 1741 - 1761, 2008. https://doi.org/10.2140/agt.2008.8.1741

Information

Received: 18 August 2008; Revised: 29 August 2008; Accepted: 1 September 2008; Published: 2008
First available in Project Euclid: 20 December 2017

zbMATH: 1159.18307
MathSciNet: MR2448870
Digital Object Identifier: 10.2140/agt.2008.8.1741

Subjects:
Primary: 18G40, 55N35, 55T25
Secondary: 18G60, 55Q51

Rights: Copyright © 2008 Mathematical Sciences Publishers

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