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Results tagged with spin-geometry
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user 148835
For questions about spin manifolds, the groups $\operatorname{Spin}(n)$, as well as generalisations such as $\operatorname{Pin}^{\pm}(n)$ and $\operatorname{Spin}^c(n)$. This tag should also be used for any questions about the geometry of spin manifolds, including questions involving Dirac operators and the Lichnerowicz formula.
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Is spin cobordism an invariant for surgery of codimension $q\ge3$?
Yes. Consider the trace $tr$ of the surgery: Take $D^{n-q+1}\times D^q$ with boundary $\partial(D^{n-q+1}\times D^q) = (S^{n-q}\times D^q)\cup (D^{n-q+1}\times S^{q-1})$ and glue the $(S^{n-q}\time …
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