Yang-Mills Connections on Orientable and Nonorientable Surfaces (Memoirs of the American Mathematical Society)
Yang-Mills Connections on Orientable and Nonorientable Surfaces (Memoirs of the American Mathematical Society) by Nan-kuo Ho
English | 2009 | ISBN: 0821844911 | 98 Pages | PDF | 834.21 KB
English | 2009 | ISBN: 0821844911 | 98 Pages | PDF | 834.21 KB
In ""The Yang-Mills equations over Riemann surfaces"", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. In ""Yang-Mills Connections on Nonorientable Surfaces"", the authors study Yang-Mills functional on the space of connections on a principal $G_{\mathbb{R}}$-bundle over a closed, connected, nonorientable surface, where $G {\mathbb{R}}$ is any compact connected Lie group. In this monograph, the authors generalize the discussion in ""The Yang-Mills equations over Riemann surfaces"" and ""Yang-Mills Connections on Nonorientable Surfaces"". They obtain explicit descriptions of equivariant Morse stratification of Yang-Mills functional on orientable and nonorientable surfaces for non-unitary classical groups $SO(n)$ and $Sp(n)$.