Author : Nan-Kuo Ho
Release : 2009-10-08
Genre : Mathematics
Kind : eBook
Book Rating : 911/5 ( reviews)
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Book Synopsis Yang-Mills Connections on Orientable and Nonorientable Surfaces by : Nan-Kuo Ho
Download or read book Yang-Mills Connections on Orientable and Nonorientable Surfaces written by Nan-Kuo Ho. This book was released on 2009-10-08. Available in PDF, EPUB and Kindle. Book excerpt: 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 $Sp(n)$.