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One stabilization is not enough for contractible 4-manifolds
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abstract
We construct an example of a cork that remains exotic after taking a connected sum with $S^2 \times S^2$. Combined with a work of Akbulut-Ruberman, this implies the existence of an exotic pair of contractible 4-manifolds which remains absolutely exotic after taking a connected sum with $S^2 \times S^2$.
Forward citations
Cited by 3 Pith papers
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Naturality in real Heegaard Floer theory
Real Heegaard Floer homology becomes a natural functor on based real 3-manifolds, with an equivariant mapping class group action and a new involutive variant.
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Strong corks derived from the Akbulut cork
The boundaries of the AKMR and Tange cork families, and nontrivial equivariant connected sums of them, are strong corks.
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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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