5 papers · 1 filter
Diffeological Riemannian orbifolds
David Miyamoto
We show that the data of a Riemannian metric on a differentiable stack presented by an orbifold groupoid is equivalent to the data of a Riemannian metric on its diffeological orbit…
Lie algebras of quotient groups
David Miyamoto
We give conditions on a diffeological group and a normal subgroup under which the quotient group differentiates to a Lie algebra for which $\operatorname{Lie}(G/H) \c…
A singular Serre-Swan theorem via tepui fibrations
Alfonso Garmendia, David Miyamoto, Leonid Ryvkin
The classical Serre-Swan theorem asserts that any finitely generated projective module over the algebra of smooth functions of a manifold can be realized as the s…
Riemannian foliations and quasifolds
Yi Lin, David Miyamoto
It is well known that, by the Reeb stability theorem, the leaf space of a Riemannian foliation with compact leaves is an orbifold. We prove that, under mild completeness conditions…
Lie groupoids determined by their orbit spaces
David Miyamoto
Given a Lie groupoid, we can form its orbit space, which carries a natural diffeology. More generally, we have a quotient functor from the Hilsum-Skandalis category of Lie groupoid…