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• W2177166377 abstract "The purpose of this paper is to give a self-contained exposition of the Atiyah-Bott picture for the Yang-Mills equation over Riemann surfaces with an emphasis on the analogy to finite dimensional geometric invariant theory. The main motivation is to provide a careful study of the semistable and unstable orbits: This includes the analogue of the Ness uniqueness theorem for Yang-Mills connections, the Kempf-Ness theorem, the Hilbert-Mumford criterion and a new proof of the moment-weight inequality following an approach outlined by Donaldson. A central ingredient in our discussion is the Yang-Mills flow for which we assume longtime existence and convergence." @default.
• W2177166377 created "2016-06-24" @default.
• W2177166377 creator A5023000201 @default.
• W2177166377 date "2015-11-25" @default.
• W2177166377 modified "2023-09-23" @default.
• W2177166377 title "A survey of the GIT picture for the Yang-Mills equation over Riemann surfaces" @default.
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