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10
votes
How do you relate the number of independent vector fields on spheres and Bott Periodicity fo...
This is not really answering your question. But it's worth pointing out that periodicity of Clifford algebras (closely tied to Bott periodicity) already gives you the "periodicity" in the explicit lo …
23
votes
Conceptual explanation for the relationship between Clifford algebras and KO
Here is one conceptual description of the relationship. (I wouldn't call it an explanation; I don't really know why it's true, except that it's because Bott periodicity is true.)
KO-theory is the fi …