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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.

5 votes

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 …
Georg Frenck's user avatar