1,046 reputation
519
bio website physik.uni-leipzig.de/~diez
location Leipzig, Germany
age 25
visits member for 3 years, 7 months
seen 9 hours ago

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.


1d
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.
1d
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
Nov
13
answered Smooth curves in a Frechet space
Oct
28
revised Examples of topologies compatible with a given dual pair
deleted 1 character in body
Oct
28
asked Examples of topologies compatible with a given dual pair
Oct
12
accepted Inverse of partial differential operator as a smooth tame map