Is there a publication reviewing the results on exotic structures on manifolds? I am not a specialist, but I have a proof of existence of exotic structures on a wide class of compact Lie groups. What is known about the existence/nonexistence of such structures in general? I have only seen results on spheres and some specific low dimensional manifolds. I would greatly appreciate if you somebody would kindly give me this information.
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You should add "smooth" to "exotic structures". – Misha Sep 14 '16 at 09:32
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This seems to be a duplicate of http://mathoverflow.net/questions/225910/exotic-smooth-structures-on-lie-groups . See also http://mathoverflow.net/questions/239148/does-every-dimension-n-geq4-admit-a-manifold-with-an-exotic-smooth-structure/239162#239162 – Mark Grant Sep 14 '16 at 10:16