关于某些基本群为二阶群的 5 维流形
几何拓扑
2011-06-14 v4 代数拓扑
摘要
本文获得了某些基本群为 Z/2 的 5 维流形的显式分类结果。这些流形包括单连通 4 维流形上的圆丛的全空间。
引用
@article{arxiv.0903.5244,
title = {On Certain 5-manifolds with Fundamental Group of Order 2},
author = {Ian Hambleton and Yang Su},
journal= {arXiv preprint arXiv:0903.5244},
year = {2011}
}
备注
Remark 3.8 added (v2); some typos fixed. For (v3) corrected the calculations in Section 5 & 6. The classification results are not affected. For (v4) the later sections were re-organized and a new Section 4 added. New details added to the proof of Lemma 4.5