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arXiv:math/0501513 [math.AT]AbstractReferencesReviewsResources

Loop structures on the homotopy type of S^3 revisited

Donald Yau

Published 2005-01-28Version 1

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.

Comments: To appear in Michigan Math. J
Journal: Michigan Mathematical Journal 53 (2005), 283-290
Categories: math.AT
Subjects: 55P15, 55N15, 55P60
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