The diffeomorphism group of a non-compact orbifold

A. Schmeding

  • 2015

Abstract

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We endow the diffeomorphism group D i f f O r b ( Q , ) of a paracompact (reduced) orbifold with the structure of an infinite-dimensional Lie group modeled on the space of compactly supported sections of the tangent orbibundle. For a second countable orbifold, we prove that D i f f O r b ( Q , ) is C⁰-regular, and thus regular in the sense of Milnor. Furthermore, an explicit characterization of the Lie algebra associated to D i f f O r b ( Q , ) is given.

How to cite

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A. Schmeding. The diffeomorphism group of a non-compact orbifold. 2015. <http://eudml.org/doc/286004>.

@book{A2015,
abstract = {We endow the diffeomorphism group $Diff_\{Orb\}(Q,)$ of a paracompact (reduced) orbifold with the structure of an infinite-dimensional Lie group modeled on the space of compactly supported sections of the tangent orbibundle. For a second countable orbifold, we prove that $Diff_\{Orb\}(Q,)$ is C⁰-regular, and thus regular in the sense of Milnor. Furthermore, an explicit characterization of the Lie algebra associated to $Diff_\{Orb\}(Q,)$ is given.},
author = {A. Schmeding},
keywords = {orbifold; non-compact orbifold; orbifold map in local charts; geodesics on orbifolds; groups of diffeomorphisms; infinite-dimensional Lie groups; regular Lie groups},
language = {eng},
title = {The diffeomorphism group of a non-compact orbifold},
url = {http://eudml.org/doc/286004},
year = {2015},
}

TY - BOOK
AU - A. Schmeding
TI - The diffeomorphism group of a non-compact orbifold
PY - 2015
AB - We endow the diffeomorphism group $Diff_{Orb}(Q,)$ of a paracompact (reduced) orbifold with the structure of an infinite-dimensional Lie group modeled on the space of compactly supported sections of the tangent orbibundle. For a second countable orbifold, we prove that $Diff_{Orb}(Q,)$ is C⁰-regular, and thus regular in the sense of Milnor. Furthermore, an explicit characterization of the Lie algebra associated to $Diff_{Orb}(Q,)$ is given.
LA - eng
KW - orbifold; non-compact orbifold; orbifold map in local charts; geodesics on orbifolds; groups of diffeomorphisms; infinite-dimensional Lie groups; regular Lie groups
UR - http://eudml.org/doc/286004
ER -

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