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2017 The character of the total power operation
Tobias Barthel, Nathaniel Stapleton
Geom. Topol. 21(1): 385-440 (2017). DOI: 10.2140/gt.2017.21.385

Abstract

We compute the total power operation for the Morava E–theory of any finite group up to torsion. Our formula is stated in terms of the GLn(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 GLn(p)–invariant generalized class functions is a natural transformation of global power functors on finite groups.

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Tobias Barthel. Nathaniel Stapleton. "The character of the total power operation." Geom. Topol. 21 (1) 385 - 440, 2017. https://doi.org/10.2140/gt.2017.21.385

Information

Received: 26 February 2015; Revised: 26 September 2016; Accepted: 15 January 2016; Published: 2017
First available in Project Euclid: 16 November 2017

MathSciNet: MR3608717
zbMATH: 1360.55004
Digital Object Identifier: 10.2140/gt.2017.21.385

Subjects:
Primary: 55N22, 55S25
Secondary: 55P42

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.21 • No. 1 • 2017
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