Heat flow on the moduli space of flat connections and Yang-Mills theory
Differential Geometry
2013-04-09 v2 Symplectic Geometry
Abstract
It is known that there is a bijection between the perturbed closed geodesics, below a given energy level, on the moduli space of flat connections M and families of perturbed Yang-Mills connections depending on a small parameter. In this paper we study the heat flow on the loop space on M and the Yang-Mills L^2-flows for a 3-manifold N with partial rescaled metrics. Our main result is that the bounded Morse homology of the loop space on M is isomorphic to the bounded Morse homologies of the connections space of N.
Keywords
Cite
@article{arxiv.1008.0257,
title = {Heat flow on the moduli space of flat connections and Yang-Mills theory},
author = {Remi Janner},
journal= {arXiv preprint arXiv:1008.0257},
year = {2013}
}
Comments
92 pages, 4 figures