The Morava E-theory of Eilenberg-Mac Lane spaces
Algebraic Topology
2011-09-30 v2
Abstract
We deform the Ravenel-Wilson computation of the Morava K-homology of Eilenberg-Mac Lane spaces to obtain a similar description of their completed Morava E-homology. This yields both a cohomological description and an interpretation on the level of formal schemes: the scheme associated to the E-cohomology of the space K(Z/p^infty, q) is the qth exterior power of the p-divisible group associated to the versal infinitesimally deformed formal group over Lubin-Tate space.
Cite
@article{arxiv.1109.5989,
title = {The Morava E-theory of Eilenberg-Mac Lane spaces},
author = {Eric Peterson},
journal= {arXiv preprint arXiv:1109.5989},
year = {2011}
}
Comments
5 pages + references, updated only to include acknowledgements