Infinitesimal thickenings of Morava K-theories

Details Infinitesimal thickenings of Morava K-theories Infinitesimal thickenings of Morava K-theories

2006-07-05

arxiv.org/abs/math/0607110v4

J. Pure Appl. Algebra 212 (2008), no. 1, 99-121

Mathematics

Algebraic Topology

25 pages

Scientific paper

A. Baker has constructed certain sequences of cohomology theories which interpolate between the Johnson-Wilson and the Morava K-theories. We realize the representing sequences of spectra as sequences of MU-algebras. Starting with the fact that the spectra representing the Johnson-Wilson and the Morava K-theories admit such structures, we construct the sequences by inductively forming singular extensions. Our methods apply to other pairs of MU-algebras as well.

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