Loop structures on the homotopy type of S^3 revisited

Donald Yau

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Loop structures on the homotopy type of S^3 revisited

Donald Yau

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Abstract

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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Donald Yau. 2005-01-28. Loop structures on the homotopy type of S^3 revisited. https://arxiv.org/abs/math/0501513

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