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2013 Transchromatic generalized character maps
Nathaniel Stapleton
Algebr. Geom. Topol. 13(1): 171-203 (2013). DOI: 10.2140/agt.2013.13.171

Abstract

The generalized character map of Hopkins, Kuhn, and Ravenel [J. Amer. Math. Soc. 13 (2000) 553–594] 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. We use the language of p–divisible groups to construct extensions of the generalized character map for Morava E–theory to every height between 0 and n.

Citation

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Nathaniel Stapleton. "Transchromatic generalized character maps." Algebr. Geom. Topol. 13 (1) 171 - 203, 2013. https://doi.org/10.2140/agt.2013.13.171

Information

Received: 19 October 2011; Revised: 24 July 2012; Accepted: 23 October 2012; Published: 2013
First available in Project Euclid: 19 December 2017

zbMATH: 1300.55011
MathSciNet: MR3031640
Digital Object Identifier: 10.2140/agt.2013.13.171

Subjects:
Primary: 55N20
Secondary: 55N91

Rights: Copyright © 2013 Mathematical Sciences Publishers

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