Operations and co-operations in Morava $E$-theory
نویسندگان
چکیده
منابع مشابه
Power Operations in Morava E-theory: Structure and Calculations (draft)
We review what is known about power operations for height 2 Morava E-theory, and carry out some sample calculations.
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We prove a congruence criterion for the algebraic theory of power operations in Morava E-theory, analogous to Wilkerson’s congruence criterion for torsion free λ-rings. In addition, we provide a geometric description of this congruence criterion, in terms of sheaves on the moduli problem of deformations of formal groups and Frobenius isogenies.
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§0 Introduction. The Morava K-theories K(n)∗( ) (for p a prime and 0 < n < ∞) form a collection of multiplicative cohomology theories whose central rôle in homotopy theory is now well established. However, even though they have been intensively studied there are still many aspects of their structure which remain undeveloped. In this paper we give a construction for families of operations remini...
متن کامل00 8 Power Operations for Morava E - Theory of Height 2 at the Prime 2
Explicit calculations of the algebraic theory of power operations for a specific Morava E-theory spectrum are given, without detailed proofs.
متن کاملSome Spectral Sequences in Morava E-theory
Morava E-theory is a much-studied theory important in understanding K(n)-local stable homotopy theory, but it is not a homology theory in the usual sense. The object of this paper is to show that the usual computational methods, spectral sequences, used to compute with homology theories also apply to Morava E-theory. Conceptually, we show that Morava E-theory is n derived functors away from bei...
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ژورنال
عنوان ژورنال: Homology, Homotopy and Applications
سال: 2004
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2004.v6.n1.a13