Commuting matrices and Atiyah's Real K-theory
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Commuting matrices and Atiyah's Real K-theory. / Gritschacher, Simon Philipp; Hausmann, Markus.
In: Journal of Topology, Vol. 12, No. 3, 2019, p. 833-854.Research output: Contribution to journal › Journal article › Research › peer-review
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TY - JOUR
T1 - Commuting matrices and Atiyah's Real K-theory
AU - Gritschacher, Simon Philipp
AU - Hausmann, Markus
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.
U2 - 10.1112/topo.12104
DO - 10.1112/topo.12104
M3 - Journal article
VL - 12
SP - 833
EP - 854
JO - Journal of Topology
JF - Journal of Topology
SN - 1753-8416
IS - 3
ER -
ID: 211219237