The authors construct the first examples of irreducible closed 4-manifolds admitting exotic diffeomorphisms, using a families Seiberg-Witten constraint and explicit lattice automorphisms.
Exotic Dehn twists and homotopy coherent group actions
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abstract
We consider the question of extending a smooth homotopy coherent finite cyclic group action on the boundary of a smooth 4-manifold to its interior. As a result, we prove that Dehn twists along any Seifert homology sphere, except the 3-sphere, on their simply connected positive-definite fillings are infinite order exotic.
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Irreducible 4-manifolds can admit exotic diffeomorphisms
The authors construct the first examples of irreducible closed 4-manifolds admitting exotic diffeomorphisms, using a families Seiberg-Witten constraint and explicit lattice automorphisms.