边界为有理同调圆的环面丛的分类
几何拓扑
2023-09-13 v2
摘要
在本文中，我们完全分类了圆上的环面丛中那些边界为具有圆的有理同调的 4-流形的情形。在此过程中，我们分类了某些边界为有理同调球的链环上的整数 surgery，并探讨了其与 3-辫闭包的联系，后者的二重分支覆盖边界为有理同调 4-球。
引用
@article{arxiv.2006.14986,
title = {Classification of torus bundles that bound rational homology circles},
author = {Jonathan Simone},
journal= {arXiv preprint arXiv:2006.14986},
year = {2023}
}
备注
Final version. Reworked many lattice analysis arguments to improve the flow of the paper. Added two cases that were missing from version 1. To appear in Algebraic & Geometric Topology