Stable and Unstable Operations in mod p Cohomology Theories
Algebraic Topology
2016-01-20 v2
Abstract
We consider operations between two multiplicative, complex orientable cohomology theories. Under suitable hypotheses, we construct a map from unstable to stable operations, left-inverse to the usual map from stable to unstable operations. In the main example, where the target theory is one of the Morava K-theories, this provides a simple and explicit description of a splitting arising from the Bousfield-Kuhn functor
Keywords
Cite
@article{arxiv.math/0605471,
title = {Stable and Unstable Operations in mod p Cohomology Theories},
author = {Andrew Stacey and Sarah Whitehouse},
journal= {arXiv preprint arXiv:math/0605471},
year = {2016}
}
Comments
28 pages; corrected proof of proposition 3.2, other minor improvements