Tome (2015)

The diffeomorphism group of a non-compact orbifold

A. Schmeding

GDML_Books, (2015), p.

Résumé

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.

Zbl 1318.58005

EUDML-ID : urn:eudml:doc:286004

@book{bwmeta1.element.bwnjournal-rm-doi-10_4064-dm507-0-1,
     author = {A. Schmeding},
     title = {The diffeomorphism group of a non-compact orbifold},
     series = {GDML\_Books},
     year = {2015},
     zbl = {1318.58005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm507-0-1}
}

A. Schmeding. The diffeomorphism group of a non-compact orbifold. GDML_Books (2015),  http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-rm-doi-10_4064-dm507-0-1/