紧致平坦轨道空间上的余 Seifert 纤维化
几何拓扑
2020-05-08 v2
摘要
本文发展了将紧致、连通、平坦 -轨道空间(orbifold)在 1-轨道空间上的所有几何纤维化按仿射等价分类的理论。我们将该分类理论应用于对紧致、连通、平坦 -轨道空间在 1-轨道空间上的所有几何纤维化按仿射等价进行分类。本文是我们给出所有闭平坦 4-流形分类的几何证明这一项目的本质部分。
引用
@article{arxiv.2002.12799,
title = {Co-Seifert Fibrations of Compact Flat Orbifolds},
author = {John G. Ratcliffe and Steven T. Tschantz},
journal= {arXiv preprint arXiv:2002.12799},
year = {2020}
}
备注
arXiv admin note: substantial text overlap with arXiv:1112.3981, arXiv:1306.6613. The introduction has been rewritten, section 2 has been shortened, and some new references have been added