Abstract
Orbifolds are a generalization of manifolds. They arise naturally in different areas of mathematics and physics, e.g.:
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Spaces of symplectic reduction are orbifolds,
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Orbifolds may be used to construct a conformal field theory model.
In [10], we considered the diffeomorphism group of a paracompact, noncompact smooth reduced orbifold. Our main result is the construction of an infinite-dimensional Lie-group structure on the diffeomorphism group and several interesting subgroups. The aim of these notes is to sketch the main ingredients of the proof. Furthermore, we will consider the special case of an orbifold with a global chart.
Mathematics Subject Classification (2010). Primary 58D05; Secondary 22E65, 46T05, 57R18.
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© 2014 Springer International Publishing Switzerland
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Schmeding, A. (2014). Orbifold Diffeomorphism Groups. In: Kielanowski, P., Bieliavsky, P., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-06248-8_13
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DOI: https://doi.org/10.1007/978-3-319-06248-8_13
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-06247-1
Online ISBN: 978-3-319-06248-8
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