Commuting matrices and Atiyah's Real K-theory
Algebraic Topology
2019-04-24 v2 K-Theory and Homology
Abstract
We describe the -equivariant homotopy type of the space of commuting n-tuples in the stable unitary group in terms of Real K-theory. The result is used to give a complete calculation of the homotopy groups of the space of commuting n-tuples in the stable orthogonal group, as well as of the coefficient ring for commutative orthogonal K-theory.
Cite
@article{arxiv.1807.06864,
title = {Commuting matrices and Atiyah's Real K-theory},
author = {Simon Gritschacher and Markus Hausmann},
journal= {arXiv preprint arXiv:1807.06864},
year = {2019}
}
Comments
Minor changes. To appear in Journal of Topology