Volume 8, issue 3 (2008)

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The $5$–local homotopy of $eo_4$

Michael A Hill

Algebraic & Geometric Topology 8 (2008) 1741–1761
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.

Keywords
Bockstein, K-theory, Hopkins–Miller
Mathematical Subject Classification 2000
Primary: 55T25, 18G40, 55N35
Secondary: 55Q51, 18G60
References
Publication
Received: 18 August 2008
Revised: 29 August 2008
Accepted: 1 September 2008
Published: 9 October 2008
Authors
Michael A Hill
Department of Mathematics
University of Virginia
PO Box 400137
Charlottesville, VA 22904
USA
http://people.virginia.edu/~mah7cd