bio  website  physik.unileipzig.de/~diez 

location  Leipzig, Germany  
age  25  
visits  member for  3 years, 7 months 
seen  9 hours ago  
stats  profile views  737 
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 infinitedimensional 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 
YangMills 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  YangMills 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 