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Exotic codimension-1 submanifolds in 4-manifolds and stabilizations
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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 $ S^2 \times S^2$. We also give new constructions of exotic embeddings of 3-spheres in 4-manifolds with diffeomorphic complements.
Forward citations
Cited by 2 Pith papers
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Families of diffeomorphisms, embeddings, and positive scalar curvature metrics via Seiberg-Witten theory
A new gluing theorem for parameterized Seiberg-Witten invariants gives infinite rank Z^∞ summands in higher homotopy and homology of diffeomorphism groups of 4-manifolds that are topologically trivial.
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Exotic families of embeddings
Smooth embeddings of 3-manifolds in 4-manifolds that are topologically trivial but smoothly exotic, both as individual embeddings and in families parameterized by spheres, are constructed and detected.
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