Volume 8, issue 3 (2008)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 18
Issue 4, 1883–2507
Issue 3, 1259–1881
Issue 2, 635–1258
Issue 1, 1–633

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Subscriptions
Editorial Board
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Author Index
To Appear
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
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