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2011

The Morava E-theory of Eilenberg-Mac Lane spaces

Peterson, Eric

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We deform the Ravenel-Wilson computation of the Morava K-homology of Eilenberg-Mac Lane spaces to obtain a similar description of their completed Morava E-homology.

This yields both a cohomological description and an interpretation on the level of formal schemes: the scheme associated to the E-cohomology of the space K(Z/p^infty, q) is the qth exterior power of the p-divisible group associated to the versal infinitesimally deformed formal group over Lubin-Tate space.

The Morava E-theory of Eilenberg-Mac Lane spaces · Around

Built on

Formal moduli for one-parameter formal Lie groups
Jonathan Lubin and John Tate · 1966
Earlier work this paper cites.
Lectures on p p -divisible groups
Michel Demazure · 1972
Earlier work this paper cites.
The Hopf ring for complex cobordism
Douglas C. Ravenel and W. Stephen Wilson · 1976
Earlier work this paper cites.

Similar

The Morava K K -theories of Eilenberg-Mac Lane spaces and the Conner-Floyd conjecture
Douglas C. Ravenel and W. Stephen Wilson · 1980
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Coalgebraic algebra
John R. Hunton and Paul R. Turner · 1998
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Morava K K -theories and localisation
Mark Hovey and Neil P. Strickland · 1999
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Functorial philosophy for formal phenomena
Neil P. Strickland
Cited in the paper.

Then

Formal schemes and formal groups
Neil P. Strickland · 1999
Later among the works it cites.
Topological automorphic forms
Mark Behrens and Tyler Lawson · 2010
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