The first surface cork, diffeomorphic to the 4-ball, is constructed to detect exotic smooth structures on embedded surfaces in 4-manifolds produced by rim surgery.
Smooth surfaces with non-simply-connected complements
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Exotic Surfaces in 4-manifolds and Surface Corks
The first surface cork, diffeomorphic to the 4-ball, is constructed to detect exotic smooth structures on embedded surfaces in 4-manifolds produced by rim surgery.