Commuting matrices and Atiyah's Real K-theory

TY - JOUR

T1 - Commuting matrices and Atiyah's Real K-theory

AU - Hausmann, Markus

AU - Gritschacher, Simon Philipp

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

M3 - Journal article

VL - arXiv:1807.06864

JO - arXiv.org

JF - arXiv.org

ER -