Yang-Mills Connections on Orientable and Nonorientable Surfaces

Yang-Mills Connections on Orientable and Nonorientable Surfaces
Author :
Publisher : American Mathematical Soc.
Total Pages : 113
Release :
ISBN-10 : 9780821844915
ISBN-13 : 0821844911
Rating : 4/5 (911 Downloads)

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 and published by American Mathematical Soc.. This book was released on 2009-10-08 with total page 113 pages. 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 $Sp(n)$.


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