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Commuting matrices and Atiyah's Real K-theory. (arXiv:1807.06864v1 [math.AT])

来源于:arXiv
We describe the $C_2$-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. 查看全文>>