Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

When is the underlying space of an orbifold a manifold?


Author: Christian Lange
Journal: Trans. Amer. Math. Soc.
MSC (2010): Primary 57R18, 54B15
DOI: https://doi.org/10.1090/tran/7687
Published electronically: May 20, 2019
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2010): 57R18, 54B15

Retrieve articles in all journals with MSC (2010): 57R18, 54B15


Additional Information

Christian Lange
Affiliation: Mathematisches Institut der Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany
Email: clange@math.uni-koeln.de; clange.math@gmail.com

DOI: https://doi.org/10.1090/tran/7687
Received by editor(s): February 19, 2018
Received by editor(s) in revised form: August 9, 2018
Published electronically: May 20, 2019
Additional Notes: The results of this paper appear in the author’s thesis [Lan16b].
The author was partially supported by a ‘Kurzzeitstipendium für Doktoranden’ by the German Academic Exchange Service (DAAD) and by the DFG-funded project SFB/TRR 191.
Article copyright: © Copyright 2019 American Mathematical Society