English

The 5-local homotopy of $eo_4$

Algebraic Topology 2014-10-01 v1 K-Theory and Homology

Abstract

We compute the 5-local cohomology of a 5-local analogue of the Weierstrass Hopf algebroid used to compute tmftmf homology. We compute the Adams-Novikov differentials in the cohomology, giving the homotopy, V(0)-homology, and V(1)-homology of the putative spectrum eo4eo_4. We also link this computation to the homotopy of the higher real KK-theory spectrum EO4EO_4.

Keywords

Cite

@article{arxiv.0809.0502,
  title  = {The 5-local homotopy of $eo_4$},
  author = {Michael A. Hill},
  journal= {arXiv preprint arXiv:0809.0502},
  year   = {2014}
}

Comments

15 pages, 7 figures

R2 v1 2026-06-21T11:16:15.385Z