TITLE: Mathematics of Yang-Mills theory
QUESTION [5 upvotes]: I am looking for a preferable introductory text on Yang-Mills theory in differential forms language. 
I have searching for a rigorous definition of this theory on Manifolds for mathematicians. Physics book that I have seen so far do not go through details. So I am asking for good references qualifying these properties. 
It would be very nice to hearing from you.

REPLY [11 votes]: Here are some resources on Yang-Mills theory: 

Applications of differential geometry to physics
Geometric foundations of classical Yang-Mills theory
Quantum Yang-Mills theory
Geometry of gauge fields (Springer) 
Yang-Mills theory and geometry 

While going through some of these papers, consider skimming through some of their references also.