Transchromatic generalized character maps

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 $n$ .

PDF Access Denied

Warning: We have not been able to recognize your IP address 47.88.87.18 as that of a subscriber to this journal. Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form.

Or, visit our subscription page for instructions on purchasing a subscription. You may also contact us at contact@msp.org or by using our contact form.

Or, you may purchase this single article for USD 29.95:

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)

Nathaniel Stapleton

Abstract