Irreducible 4-manifolds can admit exotic diffeomorphisms
Abstract
We prove that a variety of examples of minimal complex surfaces admit exotic diffeomorphisms, providing the first known instances of exotic diffeomorphisms of irreducible 4-manifolds. We also give sufficient conditions for the boundary Dehn twist on a spin 4-manifold with S3 boundary to be non-trivial in the relative mapping class group. This gives many new examples of non-trivial boundary Dehn twists.
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