Yang-Mills Connections on Orientable and Nonorientable Surfaces (Memoirs of the American Mathematical Society) by Nan-kuo Ho; Chiu-chu Melissa Liu Condition: New $61.00 Binding: Paperback In Stock: 100 Notes: Brand new. We distribute directly for the publisher. 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: Amer Mathematical Society (2009-11-15) SKU: 1005260286      ISBN: 0821844911

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