Smooth structures on complex surfaces with fundamental group 𝐙₂

Wang, Shuguang

doi:10.1090/S0002-9939-97-03641-1

Smooth structures on complex surfaces with fundamental group $\mathbf {Z}_2$
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Proc. Amer. Math. Soc. 125 (1997), 287-292 Request permission

Abstract:

It is shown that the quotients of a complex surface under free holomorphic and anti-holomorphic involutions are homeomorphic but not diffeomorphic. This gives a way to construct exotic smooth structures on some complex surfaces.

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