Exotic codimension-1 submanifolds in 4-manifolds and stabilizations
Abstract
In a small simply-connected closed 4-manifold, we construct infinitely many pairs of exotic codimension-1 submanifolds with diffeomorphic complements that remain exotic after any number of stabilizations by S2 × S2. We also give new constructions of exotic embeddings of 3-spheres in 4-manifolds with diffeomorphic complements.
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