English

Loop structures on the homotopy type of S^3 revisited

Algebraic Topology 2010-07-26 v1

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.

Keywords

Cite

@article{arxiv.math/0501513,
  title  = {Loop structures on the homotopy type of S^3 revisited},
  author = {Donald Yau},
  journal= {arXiv preprint arXiv:math/0501513},
  year   = {2010}
}

Comments

To appear in Michigan Math. J

R2 v1 2026-07-22T17:15:01.162Z