bio | website | physik.uni-leipzig.de/~diez |
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location | Leipzig, Germany | |
age | 25 | |
visits | member for | 3 years, 11 months |
seen | Jun 29 at 16:47 | |
stats | profile views | 799 |
I am currently pursuing my PhD degree under the joint supervision of Prof. Rudolph (Leipzig, Germany) and Prof. Huebschmann (Lille, France).
My research is motivated by conceptual and mathematical problems of classical field theory, which I try to attack with infinite-dimensional differential geometry. In particular, I am interested in the action of Fréchet Lie groups on Fréchet manifolds to investigate the moduli spaces occurring as configuration spaces of gauge theory and general relativity.
Jun 16 |
answered | Exponential rule for Whitney-$\mathcal{C}^{\infty}$-topology |
Jun 11 |
comment |
Connection and reduction of the structure group
To show that there are $H$-compatible connections on $E$, it seems to be a bit easier to take an arbitrary connection on the reduced bundle and then extend it to the original bundle. |
May 7 |
answered | Is there a relationship between Fourier transformations and cotangent spaces? |
May 5 |
awarded | Popular Question |
Mar 31 |
comment |
Curvature of a principal bundle and the exterior covariant derivative
You can try Kobayashi, Nomizu "Foundations of Differential Geometry". Their approach is essentially the same through their notation is different. |
Mar 30 |
answered | Curvature of a principal bundle and the exterior covariant derivative |
Mar 25 |
asked | Differential forms along the fiber |
Mar 23 |
answered | Connections having the same holonomy along loops at a point |
Mar 8 |
comment |
Yang-Mills Functional and Energy
Yes of course you are right, my answer applies only in the Riemannian case. But as you noted, for Minkowski spacetime the norm of the curvature is not the Hamiltonian but the Lagrangian. Thus in this case the question does not make much sense. |
Mar 8 |
answered | Yang-Mills Functional and Energy |
Mar 3 |
awarded | Nice Question |
Feb 1 |
revised |
Reference request: Topology on the space of smooth compact submanifolds
Corrected minor errors concerning the $C^\infty$ topology (metrizable vs normable) |
Feb 1 |
suggested | approved edit on Reference request: Topology on the space of smooth compact submanifolds |
Jan 15 |
awarded | Nice Question |
Jan 5 |
answered | Local structure of the quotient of a Lie group action |
Dec 15 |
accepted | Moduli spaces of connections as representation spaces |
Dec 11 |
asked | Moduli spaces of connections as representation spaces |
Nov 24 |
answered | What's the geometric statement of this fibrewise integration on a symplectic manifold with Lagrangian fibration? |
Nov 18 |
comment |
Smooth curves in a Frechet space
No problem! It is common here on mathoverflow to mark responses as answers if they satisfy your needs (in order to declare such questions as answered). On the other hand, if you still have open questions, I'm more than happy to expand my answer. |
Nov 13 |
revised |
Smooth curves in a Frechet space
deleted 3 characters in body |