The 5-local homotopy of eo4

Michael A. Hill

doi:10.2140/agt.2008.8.1741

The 5-local homotopy of eo₄

Michael A. Hill

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1741-1761
Number of pages	21
Journal	Algebraic and Geometric Topology
Volume	8
Issue number	3
DOIs	https://doi.org/10.2140/agt.2008.8.1741
State	Published - 2008
Externally published	Yes

Keywords

Bockstein
Hopkins-Miller
K-theory

Publisher link

10.2140/agt.2008.8.1741

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Cite this

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KW - Hopkins-Miller

KW - K-theory

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