Volume 13, issue 1 (2013)

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Transchromatic generalized character maps

Nathaniel Stapleton

Algebraic & Geometric Topology 13 (2013) 171–203
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 $n$.

Keywords
Morava $E$–theory, generalized character theory, HKR
Primary: 55N20
Secondary: 55N91