Morava K-theory
In mathematics, Morava K-theory is a collection of cohomology theories introduced in algebraic topology by
Jack Morava. It consists of a doubly-indexed family of theories, each a ring spectrum in the sense of
- K(n, p),
where n is a positive integer and p is a prime number. The motivation is to have theories that collectively rival complex cobordism, represented by the spectrum MU, while individually being easier to manipulate.
Each K(n, p) has a high degree of symmetry. The theory has mostly been developed in unpublished preprints of Morava.
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