Journal of Lie Theory

no. 4
A Manifold Structure for the Group of Orbifold Diffeomorphisms of a Smooth Orbifold
Journal of Lie Theory, Volume 18 (2008) no. 4, pp. 979-1007
For a compact, smooth $C^r$ orbifold (without boundary), we show that the topological structure of the orbifold diffeomorphism group is a Banach manifold for $1\le r\infty$ and a Fr\'echet manifold if $r=\infty$. In each case, the local model is the separable Banach (Fr\'echet) space of $C^r$, respectively, $C^\infty$ orbisections of the tangent orbibundle.
DOI: 10.5802/jolt.538
Classification: 57S05, 22F50, 54H99, 22E65
Keywords: Orbifolds, diffeomorphism groups, topological transformation groups, homeomorphism groups 
@article{JOLT_2008_18_4_a15,
     author = {J. E. Borzellino and V. Brunsden},
     title = {A {Manifold} {Structure} for the {Group} of {Orbifold} {Diffeomorphisms} of a {Smooth} {Orbifold}},
     journal = {Journal of Lie Theory},
     pages = {979--1007},
     year = {2008},
     volume = {18},
     number = {4},
     doi = {10.5802/jolt.538},
     zbl = {1166.57021},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.538/}
}
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J. E. Borzellino; V. Brunsden. A Manifold Structure for the Group of Orbifold Diffeomorphisms of a Smooth Orbifold. Journal of Lie Theory, Volume 18 (2008) no. 4, pp. 979-1007. doi: 10.5802/jolt.538

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