When is the underlying space of an orbifold a manifold?
General Topology
2019-04-09 v3 Geometric Topology
Abstract
We classify orthogonal actions of finite groups on Euclidean vector spaces for which the corresponding quotient space is a topological, homological or Lipschitz manifold, possibly with boundary. In particular, our results answer the question of when the underlying space of an orbifold is a manifold.
Keywords
Cite
@article{arxiv.1307.4875,
title = {When is the underlying space of an orbifold a manifold?},
author = {Christian Lange},
journal= {arXiv preprint arXiv:1307.4875},
year = {2019}
}
Comments
29 pages, combined with former arXiv:1509.06796, title updated, to appear in Trans. Amer. Math. Soc