Transchromatic generalized character maps
Algebraic Topology
2014-10-01 v2
Abstract
In "Generalized Group Characters and Complex Oriented Cohomology Theories", Hopkins, Kuhn, and Ravenel develop a way to study cohomology rings of the form E^*(BG) in terms of a character map. The character map can be interpreted as a map of cohomology theories beginning with a height n cohomology theory E and landing in a height 0 cohomology theory with a rational algebra of coefficients that is constructed out of E. In this paper we use the language of p-divisible groups to extend their construction for Morava E-theory so that the character map can land in every height t between 0 and n.
Keywords
Cite
@article{arxiv.1110.3346,
title = {Transchromatic generalized character maps},
author = {Nathaniel J. Stapleton},
journal= {arXiv preprint arXiv:1110.3346},
year = {2014}
}
Comments
Corrected typos. Some proofs written more clearly. Some changes in notation