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	Título: Yang-Mills Connections On Orientable And Nonorientable Surfaces
	Autor: Ho Nan-Kuo/ Liu Chiu-Chiu Melissa	Precio: $823.56
	Editorial: American Mathematical Society	Año: 2009
	Tema: Matematicas, Textos, Teorias	Edición: 1ª
	Sinopsis	ISBN: 9780821844915
	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). Table of Contents Introduction Topology of Gauge group Holomorphic principal bundles over Riemann surfaces Yang-Mills connections and representation varieties Yang-Mills SO(2n+1)-connections Yang-Mills SO(2n)-connections Yang-Mills Sp(n)-connections Appendix A. Remarks on Laumon-Rapoport formula Bibliography

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