The eta invariant and the real connective K-theory of the classifying space for quaternion groups

Details The eta invariant and the real connective K-theory of the classifying space for quaternion groups The eta invariant and the real connective K-theory of the classifying space for quaternion groups

2002-05-08

arxiv.org/abs/math/0205084v2

Mathematics

Differential Geometry

Scientific paper

We express the real connective $K$ theory groups of the quaternion QL group
of order $2^j\ge8$ in terms of the representation theory of by showing
$ko_{4k-1}(BQL)=KSp(S^{4k+3}/\tau QL)$ where $tau$ is any fixed point free
representation of QL in U(2k+2)

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