Transchromatic generalized character maps

Stapleton, Nathaniel

doi:10.2140/agt.2013.13.171

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Transchromatic generalized character maps

Nathaniel Stapleton

Algebraic & Geometric Topology 13 (2013) 171–203

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 $n$ .

Keywords

Morava $E$–theory, generalized character theory, HKR

Mathematical Subject Classification 2010

Primary: 55N20

Secondary: 55N91

References

Publication

Received: 19 October 2011

Revised: 24 July 2012

Accepted: 23 October 2012

Published: 12 February 2013

Authors

Nathaniel Stapleton
Department of Mathematics Massachusetts Institute of Technology 2-233, 77 Massachusetts Avenue Cambridge, MA 02139-4307 USA

Volume 13, issue 1 (2013)