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Nan-kuo Ho
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دانلود کتاب Yang-Mills connections on orientable and nonorientable surfaces
by Nan-kuo Ho|
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عنوان فارسی: اتصالات یانگ-میلز در سطوح orientable و nonorientable |
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جزییات کتاب
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)
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