Commuting matrices and Atiyah's Real K-theory

Research output: Contribution to journalJournal articleResearch

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.
Original languageEnglish
JournalarXiv.org
VolumearXiv:1807.06864
Publication statusSubmitted - 2019

ID: 211219237