Diffeomorphisms of 4-manifolds with boundary and exotic embeddings
Geometric Topology
2024-08-16 v2 Differential Geometry
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.2203.14878,
title = {Diffeomorphisms of 4-manifolds with boundary and exotic embeddings},
author = {Nobuo Iida and Hokuto Konno and Anubhav Mukherjee and Masaki Taniguchi},
journal= {arXiv preprint arXiv:2203.14878},
year = {2024}
}
Comments
45 pages, 2 figures, several parts (including Introduction) have been changed. To appear in Math. Ann