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Apr
6
comment Reference Request: Elliptic differential operators in the Fréchet setting
Thank you for this reference, looks indeed like a good start. In addition, the work "The inverse function theorem of Nash and Moser" of Hamilton also treatises differential operators and even a big part of the elliptic theory (discusses for example greens functions). More literature recommendations are still highly welcomed.
Apr
6
asked Reference Request: Elliptic differential operators in the Fréchet setting
Feb
19
answered Exponential mapping versus flow
Feb
9
awarded  Popular Question
Jan
17
revised Curvature as infinitesimal holonomy
deleted 14 characters in body
Jan
17
comment Curvature as infinitesimal holonomy
Thanks abx for the reference to the Ambrose-Singer theorem. I see the close relationship between my question and this theorem, but I think the derivative of the holonomy is even a stronger result. I updated my question to better clarify my idea and the intuition one gets from the abelian case. @ Liviu: Thank you for the link! This goes in the direction I had in mind. Do you know why one can restrict ones attention to a small parallelogram and does not consider arbitrary small loops?
Jan
17
revised Curvature as infinitesimal holonomy
added 627 characters in body
Jan
17
asked Curvature as infinitesimal holonomy
Dec
30
comment Design slides for presentation (conference talk)
Why is this question off-topic? What is more relevant to a researcher than to present their own work in a good and comprehensible way? (Also mathoverflow.net/questions/29866/… is a comparable question, just that my current question is more about the slides and not the whole talk)
Dec
29
asked Design slides for presentation (conference talk)
Dec
10
comment Parametrised Hilbert spaces; can we put a norm on the following space of Hilbert spaces?
In your problem, do you have an explicit dependence of $\Omega_s$ from $s$ which allows you to define a continuous map from $H(s)$ to $H(s')$ for every $s < s'$ or $s > s'$? In that case you might want to have a look at the inverse and direct limit construction of topological vector spaces. In this way you don't have a topology on $H$ but have nonetheless a limit space $\lim H(s)$.
Dec
7
comment Parameter dependent differential equation in a Lie group
I think you refer to Theorem B3, which however only handles the case of a scalar parameter $\epsilon \in \mathbb{R}$. Thanks nonetheless!
Dec
7
revised Parameter dependent differential equation in a Lie group
Made clear that only a reference is searched for.
Dec
4
revised Parameter dependent differential equation in a Lie group
added 6 characters in body
Dec
4
asked Parameter dependent differential equation in a Lie group
Nov
24
answered Space of differential operators
Nov
20
comment A good primer for geometric quantization.
It is a great book, but it puts its focus more on the inverse direction - the semisclassical limit. I think only the last chapter is truely about Geometric Quantization, and there the presentation differs from the usual construction.
Nov
15
awarded  Nice Question
Nov
10
comment Is “problem solving” a subject to be taught?
I think statements for the whole of Germany are problematic in light of the heterogeneous education system in which every federal state has its own standards. A good overview of the mathematical knowledge at the end of the schooldays can be found here: dpg-physik.de/dpg/gliederung/ag/ags/… (in German)
Nov
9
answered are there natural examples of classical mechanics that happens on a symplectic manifold that isn't a cotangent bundle?