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Is there a purely topological definition of $\text{Spin}(p,q)$?

What about the complex point of view? The complex analogue of $SO(p,q)$ (complex matrices preserving a nondegenerate bilinear form and having determinant $1$) depends only on $p+q$, since all complex ...
Tom Goodwillie's user avatar
3 votes

Is there a purely topological definition of $\text{Spin}(p,q)$?

Here is a copy of my answer at MathStackExchange. Almost nobody does this. There is a discussion in the Wikipedia article on spinor groups but it has too many mistakes and too few references. The only ...
Moishe Kohan's user avatar
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