Commuting matrices and Atiyah's Real K-theory
Research output: Contribution to journal › Journal article › Research › peer-review
We describe the C2-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.
|Journal||Journal of Topology|
|Publication status||Published - 2019|