What is the complexification of the $n$-sphere $S^n$ under the construction given in this post? Does such a construction exist?
I do not think it would be $\mathbb{CP}^{n/2}$, as this is not a contractible space.
Thanks in advance!
2026-03-26 13:02:11.1774530131
What is the complexification of the $n$-sphere $S^n$?
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