On Brown-Peterson cohomology of QX
Algebraic Topology
2007-05-23 v1
Abstract
We compute the Brown-Peterson cohomology of QX, the free infinite loop-space on X, when X is a space whose Morava K-theory is flat over its BP-cohomology, in particular a space whose Morava K-theory is concentrated in even degrees. Our computation is in terms of a destabilization functor for BP-cohomology. We also show that for such X, the Morava K-homology of QX is a free commutative algebra.
Keywords
Cite
@article{arxiv.math/0103236,
title = {On Brown-Peterson cohomology of QX},
author = {Takuji Kashiwabara},
journal= {arXiv preprint arXiv:math/0103236},
year = {2007}
}
Comments
32 pages, published version, abstract added in migration