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The Morava E-theory of Eilenberg-Mac Lane spaces

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arxiv 1109.5989 v2 pith:V6LPY3UL submitted 2011-09-27 math.AT

Eric Peterson This is my paper · ORCID
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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.

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  1. Level structures and cyclic power operations on the homology of $\mathbb{E}_\infty$ spaces

    math.AT 2026-07 conditional novelty 5.0 of 10

    New explicit formulas for the additive C_2 power operations on the indecomposables of KU_0(BU), E_2[BU], and E_2[BSU] modulo decomposables, derived from the level-structure interpretation of power operations.

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