Localizations of Morava E-theory and deformations of formal groups
Abstract
We study the relationship between the transchromatic localizations of Morava E-theory, LK(n-1)En, and formal groups. In particular, we show that the coefficient ring π0LK(n-1)En has a modular interpretation, representing deformations of formal groups with certain extra structure, and derive similar descriptions of the cooperations algebra and En-1-homology of this spectrum. As an application, we show that LK(1)E2 has exotic E∞ structures not obtained by K(1)-localizing the E∞ ring E2.
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