1Dept. of Mathematics, California Polytechnic State University, 1 Grand Avenue, San Luis Obispo, CA 93407, U.S.A. 2Dept. of Mathematics and Statistics, Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601, U.S.A.
Journal of Lie Theory, Tome 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.
1
Dept. of Mathematics, California Polytechnic State University, 1 Grand Avenue, San Luis Obispo, CA 93407, U.S.A.
2
Dept. of Mathematics and Statistics, Penn State Altoona, 3000 Ivyside Park, Altoona, PA 16601, U.S.A.
Joseph E. Borzellino; Victor Brunsden. A Manifold Structure for the Group of Orbifold Diffeomorphisms of a Smooth Orbifold. Journal of Lie Theory, Tome 18 (2008) no. 4, pp. 979-1007. http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a15/
@article{JOLT_2008_18_4_a15,
author = {Joseph E. Borzellino and Victor 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},
url = {http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a15/}
}
TY - JOUR
AU - Joseph E. Borzellino
AU - Victor Brunsden
TI - A Manifold Structure for the Group of Orbifold Diffeomorphisms of a Smooth Orbifold
JO - Journal of Lie Theory
PY - 2008
SP - 979
EP - 1007
VL - 18
IS - 4
UR - http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a15/
ID - JOLT_2008_18_4_a15
ER -
%0 Journal Article
%A Joseph E. Borzellino
%A Victor Brunsden
%T A Manifold Structure for the Group of Orbifold Diffeomorphisms of a Smooth Orbifold
%J Journal of Lie Theory
%D 2008
%P 979-1007
%V 18
%N 4
%U http://geodesic.mathdoc.fr/item/JOLT_2008_18_4_a15/
%F JOLT_2008_18_4_a15
