Loop structures on the homotopy type of S^3 revisited

Details Loop structures on the homotopy type of S^3 revisited Loop structures on the homotopy type of S^3 revisited

2005-01-28

arxiv.org/abs/math/0501513v1

Michigan Mathematical Journal 53 (2005), 283-290

Mathematics

Algebraic Topology

To appear in Michigan Math. J

Scientific paper

We observe that the Rector invariants classifying the genus of BS^3 show up
in (orthogonal and unitary) K-theory. We then use this knowledge to show purely
algebraically how the K-theory of the spaces in the genus of BS^3 differ. This
provides new insights into a result of Notbohm in the case of BS^3.

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