The Morava K-theory of BO(q) and MO(q)
Algebraic Topology
2015-11-25 v1
Abstract
We give an easy proof that the Morava K-theories for BO(q) and MO(q) are in even degrees. Although this is a known result, it had followed from a difficult proof that BP^*(BO(q)) was Landweber flat. Landweber flatness follows from the even Morava K-theory. We go further and compute an explicit description of K(n)_*(BO(q)) and K(n)_*(MO(q)) and reconcile it with the purely algebraic construct from Landweber flatness.
Cite
@article{arxiv.1409.1492,
title = {The Morava K-theory of BO(q) and MO(q)},
author = {Nitu Kitchloo and W. Stephen Wilson},
journal= {arXiv preprint arXiv:1409.1492},
year = {2015}
}