University of Toronto's Symplectic Geometry Seminar

January 21, 2008, 2:10pm
Bahen 6183

Jan Swodoba

ETH Zurich

Yang-Mills Equations and Loop Groups


In this talk I will relate the L^2-gradient flow of the Yang-Mills functional $YM$ on a principal $G$-bundle over the 2-sphere to that of the energy functional $E$ on loops in the Lie group $G$. I discuss how this can be used to construct an isomorphism between the equivariant Morse homologies of $YM$ and $E$.