Co-Seifert Fibrations of Compact Flat Orbifolds
Geometric Topology
2020-05-08 v2
Abstract
In this paper, we develop the theory for classifying all the geometric fibrations of compact, connected, flat -orbifolds, over a 1-orbifold, up to affine equivalence. We apply our classification theory to classify all the geometric fibrations of compact, connected, flat -orbifolds, over a 1-orbifold, up to affine equivalence. This paper is an essential part of our project to give a geometric proof of the classification of all closed flat 4-manifolds.
Cite
@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}
}
Comments
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