四维流形中光滑纽结但拓扑解纽的零同调曲面
几何拓扑
2024-05-24 v3
摘要
我们指出，最近不等价光滑结构的构造提供了一种制造程序，可在无数四维流形内部生成成对光滑非同位零同调二维环面和球面的无限集合。相应的无限集合由拓扑同位曲面组成，这些曲面在若干情形下拓扑地界定一个柄体。
引用
@article{arxiv.2005.11696,
title = {Smoothly knotted and topologically unknotted nullhomologous surfaces in 4-manifolds},
author = {Rafael Torres},
journal= {arXiv preprint arXiv:2005.11696},
year = {2024}
}
备注
Suggestions from a referee are incorporated in v2. Changes include: added Thm B and a discussion of an invariant of Fintushen-Stern to discern the knotted 2-tori, modified proof of Lemma 1, and a new title. v3: To appear Annales de l'Institut Fourier