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The
character of the total power operation
Tobias Barthel and Nathaniel Stapleton |
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Geometry & Topology 21 (2017) 385–440
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Abstract |
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We compute the total power operation for the Morava –theory of any finite group up to torsion. Our formula is stated in terms of the –action on the Drinfel’d ring of full level structures on the formal group associated to –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 –theory to –invariant generalized class functions is a natural transformation of global power functors on finite groups. |
Keywords
power operations, generalized character theory, Morava
$E$–theory
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Mathematical Subject Classification 2010
Primary: 55N22, 55S25
Secondary: 55P42
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References |
Publication
Received: 26 February 2015
Revised: 26 September 2016
Accepted: 15 January 2016
Published: 10 February 2017
Proposed: Haynes Miller
Seconded: Mark Behrens, Jesper Grodal
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Authors |
| Tobias Barthel | |
| Department of Mathematical
Sciences University of Copenhagen Universitetsparken 5 DK-2100 Copenhagen Denmark |
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| http://people.mpim-bonn.mpg.de/tbarthel/ | |
| Nathaniel Stapleton | |
| Fakultät für Mathematik Universität Regensburg D-93040 Regensburg Germany |
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| http://guests.mpim-bonn.mpg.de/nstapleton/ | |
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