Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Perturbed geodesics on the moduli space of flat connections and Yang–Mills theory

Perturbed geodesics on the moduli space of flat connections and Yang–Mills theory 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 parameter $${\varepsilon}$$ . 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Perturbed geodesics on the moduli space of flat connections and Yang–Mills theory

Mathematische Zeitschrift , Volume 273 (4) – Apr 11, 2012

Loading next page...
 
/lp/springer-journals/perturbed-geodesics-on-the-moduli-space-of-flat-connections-and-yang-PCpgohJxmm

References (9)

Publisher
Springer Journals
Copyright
Copyright © 2012 by Springer-Verlag
Subject
Mathematics; Mathematics, general
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-012-1025-9
Publisher site
See Article on Publisher Site

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 parameter $${\varepsilon}$$ . 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.

Journal

Mathematische ZeitschriftSpringer Journals

Published: Apr 11, 2012

There are no references for this article.