Perturbed geodesics on the moduli space of flat connections and Yang-Mills theory
arXiv:1006.5340 · doi:10.1007/s00209-012-1025-9
Abstract
If we consider the moduli space of flat connections of a non trivial principal SO(3)-bundle over a surface, then we can define a map from the set of perturbed closed geodesics, below a given energy level, into families of perturbed Yang-Mills connections depending on a small parameter. In this paper we show that this map is a bijection and maps perturbed geodesics into perturbed Yang-Mills connections with the same Morse index.
58 pages, 3 figures