闭 4-流形中分支为拓扑平凡结的异常 2-链环的构造方法
几何拓扑
2025-08-13 v2 微分几何
摘要
我们描述了一种在闭单连通 4-流形中构造无限集 -链环的过程，这些链环拓扑同痕、光滑不等价且分支拓扑平凡。这些 2-链环是文献中此类链环的首批例子。所提供的例子以曲面群和自由群作为它们的 2-链环群。我们还指出了此类族的一种异常 Brunnian 行为，突显了链环在产生异常现象中的重要作用。
引用
@article{arxiv.2206.09659,
title = {A recipe for exotic 2-links in closed 4-manifolds whose components are topological unknots},
author = {Valentina Bais and Younes Benyahia and Oliviero Malech and Rafael Torres},
journal= {arXiv preprint arXiv:2206.09659},
year = {2025}
}
备注
v2: The paper has been rewritten to include the case of 2-links. New title. An author has been added