The connective K-theory of the Eilenberg-MacLane space K(Z/p,2)
Algebraic Topology
2023-02-22 v2
Abstract
We compute ku^*(K(Z/p,2)) and ku_*(K(Z/p,2)), the connective KU-cohomology and connective KU-homology groups of the mod-p Eilenberg-MacLane space K(Z/p,2), using the Adams spectral sequence. We obtain a striking interaction between h_0-extensions and exotic extensions. The mod-p connective KU-cohomology groups, computed elsewhere, are needed in order to establish higher differentials and exotic extensions in the integral groups.
Keywords
Cite
@article{arxiv.2210.04727,
title = {The connective K-theory of the Eilenberg-MacLane space K(Z/p,2)},
author = {Donald M. Davis and W. Stephen Wilson},
journal= {arXiv preprint arXiv:2210.04727},
year = {2023}
}
Comments
minor changes, submitted for publication