9 citations · 11 across the 9 of their papers we have counts for
9 papers
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…
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…
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…
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…
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…
Singular foliations through diffeology
David Miyamoto
A singular foliation is a partition of a manifold into leaves of perhaps varying dimension. Stefan and Sussmann carried out fundamental work on singular foliations in the 1970s. We…
Quasifold groupoids and diffeological quasifolds
Yael Karshon, David Miyamoto
Quasifolds are spaces that are locally modelled by quotients of by countable affine group actions. These spaces first appeared in Elisa Prato's generalization of the…
Diffeological submanifolds and their friends
Yael Karshon, David Miyamoto, Jordan Watts
A smooth manifold hosts different types of submanifolds, including embedded, weakly-embedded, and immersed submanifolds. The notion of an immersed submanifold requires additional s…
The Basic de Rham Complex of a Singular Foliation
David Miyamoto
A singular foliation gives a partition of a manifold into leaves whose dimension may vary. Associated to a singular foliation are two complexes, that of the diffeo…