中文

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 nn-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 22-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。

关键词

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