Yang-Mills Connections on Orientable and Nonorientable Surfaces

Released on by Nan-Kuo Ho
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  • Yang-Mills Connections on Orientable and Nonorientable Surfaces Book Detail

  • Author : Nan-Kuo Ho
  • Release Date : 2009-10-08
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 113
  • ISBN 13 : 0821844911
  • File Size : 21,21 MB
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Yang-Mills Connections on Orientable and Nonorientable Surfaces by Nan-Kuo Ho PDF Summary

Book Description: 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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In the Tradition of Ahlfors-Bers, VI

In the Tradition of Ahlfors-Bers, VI

File Size : 21,21 MB
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The Ahlfors-Bers Colloquia commemorate the mathematical legacy of Lars Ahlfors and Lipman Bers. The core of this legacy lies in the fields of geometric function