Yang-Mills Connections on Orientable and Nonorientable Surfaces (Paperback)
  • Yang-Mills Connections on Orientable and Nonorientable Surfaces (Paperback)
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Yang-Mills Connections on Orientable and Nonorientable Surfaces (Paperback)

£66.50
Paperback 98 Pages / Published: 30/11/2009
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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 $Sp(n)$.

Publisher: American Mathematical Society
ISBN: 9780821844915
Number of pages: 98
Weight: 180 g

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