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6 votes

What is meant by smooth orbifold?

Edit: Nov. 26, 2015 Another example about how diffeology represents the smooth structure of orbifolds: the Seifert Orbifolds, as space of fibers of a "Seifert fibered manifold": http://math.huji.ac.il … So if you are interested in diffeomorphisms of the orbifolds, go directly to the group, and analyze it. …
Patrick I-Z's user avatar
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3 votes

Orbifold fundamental group in terms of loops?

I don't really looked how the homotopy for diffeological orbifolds, or the homotopy of the orbits of the group of diffeomorphisms, and the structure groups of the orbifolds (here ${\bf Z}_m$ at the origin … ) are related, but it has its own logic and it is a diffeological invariant (I consider only what is called "effective orbifolds"). …
Patrick I-Z's user avatar
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