带边四流形上的微分同胚与奇异嵌入
几何拓扑
2024-08-16 v2 微分几何
辛几何
摘要
我们定义了 Kronheimer 与 Mrowka 关于带接触边四流形不变量的一族推广版本，并利用它们来探测带边四流形上的奇异微分同胚。此外，我们给出了首个光滑闭四流形中带有微分同胚补空间的奇异三维球面存在的例子。
引用
@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}
}
备注
45 pages, 2 figures, several parts (including Introduction) have been changed. To appear in Math. Ann