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Results tagged with smooth-manifolds
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user 11885
Smooth manifolds and smooth functions between them. For manifolds with additional structure, see more specific tags, such as [riemannian-geometry]. For more topological aspects, see [differential-topology].
10
votes
Is there a good (co)homology theory for manifolds with corners?
A manifold with corner is a diffeological space modeled on orthants, as such it has a very well defined De Rham cohomology.
Edit : With Serap Gürer, we just wrote a paper (will appear in Indag. Math. …
- 2,289
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. …
- 2,289
13
votes
Nice application of generalized smooth spaces
I think there are some theorems which are easier to prove in the diffeological framework, or as you say: for which the proof reveals more conceptual reasons. For example this one ?
Proposition Let $X …
14
votes
Accepted
Quantization of symplectic vector space and choice of lagrangian subspaces
The first attempt to "quantize" a dynamical variable $u$ on a symplectic manifold $(M,\omega)$, that is, to associate a linear operator $\hat u$ on the space of square summable smooth function $\psi …
- 2,289