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pro vyhledávání: '"Miyamoto, David"'
Autor:
Miyamoto, David
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 groupoids to the category of diffeological spaces. We introduce the notion of
Externí odkaz:
http://arxiv.org/abs/2310.11968
Autor:
Lin, Yi, Miyamoto, David
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, the leaf space of a Killing Riemannian foliation is a diffeological
Externí odkaz:
http://arxiv.org/abs/2309.15166
Autor:
Miyamoto, David
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 survey their contributions, show how diffeological objects and ideas
Externí odkaz:
http://arxiv.org/abs/2303.07494
Autor:
Karshon, Yael, Miyamoto, David
Quasifolds are spaces that are locally modelled by quotients of $\mathbb{R}^n$ by countable affine group actions. These spaces first appeared in Elisa Prato's generalization of the Delzant construction, and special cases include leaf spaces of irrati
Externí odkaz:
http://arxiv.org/abs/2206.14776
A smooth manifold hosts different types of submanifolds, including embedded, weakly-embedded, and immersed submanifolds. The notion of an immersed submanifold requires additional structure (namely, the choice of a topology); when this additional stru
Externí odkaz:
http://arxiv.org/abs/2204.10381
Publikováno v:
In Differential Geometry and its Applications October 2024 96
Autor:
Miyamoto, David
Publikováno v:
International Mathematics Research Notices, 2022;, rnac044
A singular foliation $\mathcal F$ gives a partition of a manifold $M$ into leaves whose dimension may vary. Associated to a singular foliation are two complexes, that of the diffeological differential forms on the leaf space $M / \mathcal F$, and tha
Externí odkaz:
http://arxiv.org/abs/2102.10091
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Akademický článek
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Autor:
Guo, Hongshan, Vuille, Joanna A., Wittner, Ben S., Lachtara, Emily M., Hou, Yu, Lin, Maoxuan, Zhao, Ting, Raman, Ayush T., Russell, Hunter C., Reeves, Brittany A., Pleskow, Haley M., Wu, Chin-Lee, Gnirke, Andreas, Meissner, Alexander, Efstathiou, Jason A., Lee, Richard J., Toner, Mehmet, Aryee, Martin J., Lawrence, Michael S., Miyamoto, David T., Maheswaran, Shyamala, Haber, Daniel A.
Publikováno v:
In Cell 22 June 2023 186(13):2765-2782