Perturbed geodesics on the moduli space of flat connections and Yang-Mills theory
Differential Geometry
2013-04-09 v1 Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1006.5340,
title = {Perturbed geodesics on the moduli space of flat connections and Yang-Mills theory},
author = {Remi Janner},
journal= {arXiv preprint arXiv:1006.5340},
year = {2013}
}
Comments
58 pages, 3 figures