Comparison of power operations in morava e-theories

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Abstract

There is a Hopf algebroid without antipode which is the dual of the algebra of power operations in Morava E-theory. In this paper we compare the category of comodules over the Hopf algebroid in the nth Morava E-theory with that in the (n + 1)st Morava E-theory. We show that the nth Morava E-theory of a finite complex with power operations can be obtained from the (n + 1)st Morava E-theory with power operations.

Original languageEnglish
Pages (from-to)59-87
Number of pages29
JournalHomology, Homotopy and Applications
Volume19
Issue number1
DOIs
Publication statusPublished - 2017

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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