On the Morava $K$-theories of ${\rm SO}(2n+1)$
نویسندگان
چکیده
منابع مشابه
Bockstein Operations in Morava K-theories
§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...
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For each prime p and integer n satisfying 0 < n < ∞, there is a ring spectrum K(n) called the n th Morava K-theory at p. We discuss exotic multiplications upon K(n) and their liftings to certain characteristic zero spectra[ E(n). Introduction. The purpose of this paper is to describe exotic multiplications on Morava’s spectrum K(n) and certain “liftings” to spectra whose coefficient rings are o...
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Let p denote an odd prime. We show that the spectrum [ E(n), the In-adic completion of Johnson and Wilson’s E(n), admits a unique topological A∞ structure compatible with its canonical ring spectrum structure. Furthermore, the canonical morphism of ring spectra [ E(n) −→ K(n) admits an A∞ structure whichever of the uncountably many A∞ structures of A. Robinson is imposed upon K(n), the n th Mor...
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This paper is intended to be an informal introduction to [HKR], where we study the Morava K–theories (which will be partially defined below) of the classifying space of a finite group G and related matters. It will be long on exposition and short on proofs, in the spirit of the third author’s lecture at the conference. In Section 1 we will recall Atiyah’s theorem relating the complex K–theory o...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1990
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1990-0994784-5