Diffeomorphisms of 4-manifolds with boundary and exotic embeddings

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2024年8月17日

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Nobuo Iida,
Hokuto Konno,
Anubhav Mukherjee,
Masaki Taniguchi

摘要

We define family versions of the invariant of 4-manifolds with contact boundary due to Kronheimer and Mrowka and use these to detect exotic diffeomorphisms of 4-manifolds with boundary. Further, we show the existence of the first example of exotic 3-spheres in a smooth closed 4-manifold with diffeomorphic complements.