The character of the total power operation

Barthel, Tobias and Stapleton, Nathaniel (2017) The character of the total power operation. GEOMETRY & TOPOLOGY, 21 (1). pp. 385-440. ISSN 1465-3060, 1364-0380

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Abstract

We compute the total power operation for the E-Morava E-theory of any finite group up to torsion. Our formula is stated in terms of the GL(n)(Q(p))-action on the Drinfel'd ring of full level structures on the formal group associated to E-theory. It can be specialized to give explicit descriptions of many classical operations. Moreover, we show that the character map of Hopkins, Kuhn and Ravenel from E-theory to GL(n) (Z(p))-invariant generalized class functions is a natural transformation of global power functors on finite groups.

Item Type: Article
Uncontrolled Keywords: MORAVA E-THEORY;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 12:57
Last Modified: 21 Feb 2019 06:53
URI: https://pred.uni-regensburg.de/id/eprint/67

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