Diffeomorphisms of 4-manifolds with boundary and exotic embeddings

Nobuo Iida; Hokuto Konno; Anubhav Mukherjee; Masaki Taniguchi

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arXiv · 2203.14878

Diffeomorphisms of 4-manifolds with boundary and exotic embeddings

Nobuo Iida·Hokuto Konno·Anubhav Mukherjee·Masaki Taniguchi

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Abstract

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.

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Nobuo Iida, Hokuto Konno, Anubhav Mukherjee, Masaki Taniguchi. 2022-03-28. Diffeomorphisms of 4-manifolds with boundary and exotic embeddings. https://arxiv.org/abs/2203.14878

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