Morse theory for the Yang-Mills functional via equivariant homotopy theory
Algebraic Topology
2007-05-23 v1
Abstract
In this paper we show the existence of non minimal critical points of the Yang-Mills functional over a certain family of 4-manifolds with generic SU(2)-invariant metrics using Morse and homotopy theoretic methods. These manifolds are acted on fixed point freely by the Lie group SU(2) with quotient a compact Riemann surface of even genus. We use a version of invariant Morse theory for the Yang-Mills functional used by Parker and by Rade.
Keywords
Cite
@article{arxiv.math/0101024,
title = {Morse theory for the Yang-Mills functional via equivariant homotopy theory},
author = {U. Gritsch},
journal= {arXiv preprint arXiv:math/0101024},
year = {2007}
}
Comments
19 pages, amstex