Diffeomorphisms of 4-manifolds with boundary and exotic embeddings
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866909287144488960 |
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| author | Iida, Nobuo Konno, Hokuto Mukherjee, Anubhav Taniguchi, Masaki |
| author_facet | Iida, Nobuo Konno, Hokuto Mukherjee, Anubhav Taniguchi, Masaki |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2203_14878 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Diffeomorphisms of 4-manifolds with boundary and exotic embeddings Iida, Nobuo Konno, Hokuto Mukherjee, Anubhav Taniguchi, Masaki Geometric Topology Differential Geometry Symplectic Geometry 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. |
| title | Diffeomorphisms of 4-manifolds with boundary and exotic embeddings |
| topic | Geometric Topology Differential Geometry Symplectic Geometry |
| url | https://arxiv.org/abs/2203.14878 |