The Morava E-theory of Eilenberg-Mac Lane spaces

2011/09/27 by Peterson, Eric
#55N22 #Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1109.5989

Abstract

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/pⁱnfty, q) is the qth exterior power of the p-divisible group associated to the versal infinitesimally deformed formal group over Lubin-Tate space.

Related

• There aren't that many Morava E-theories
• The connective Morava K-theory of the second mod p Eilenberg-MacLane space
• Lubin-Tate theory, character theory, and power operations
• Level structures on p-divisible groups from the Morava E-theory of abelian groups
• The Homology of Connective Morava E-theory with coefficients in \mathbbF_p