When is the underlying space of an orbifold a manifold?
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- by Christian Lange PDF
- Trans. Amer. Math. Soc. 372 (2019), 2799-2828 Request permission
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
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Additional Information
- Christian Lange
- Affiliation: Mathematisches Institut der Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany
- MR Author ID: 1185898
- Email: clange@math.uni-koeln.de; clange.math@gmail.com
- 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. - © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 2799-2828
- MSC (2010): Primary 57R18, 54B15
- DOI: https://doi.org/10.1090/tran/7687
- MathSciNet review: 3988594