On the converse to a theorem of Atiyah and Bott

DOI10.1090/S1056-3911-01-00304-6zbMath1061.14028arXivmath/0006086OpenAlexW1986147160WikidataQ102255364 ScholiaQ102255364MaRDI QIDQ4531305

John W. Morgan, Robert M. Friedman

Publication date: 5 August 2002

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0006086

zbMATH Keywords

moduli spacesLie algebrasstratificationsvector bundles on curvesprincipal \(G\)-bundlesreductive linear groups

Mathematics Subject Classification ID

Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Vector bundles on curves and their moduli (14H60) Holomorphic bundles and generalizations (32L05)

Related Items

Yang-Mills connections on orientable and nonorientable surfaces

Cites Work

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• Deformations of principal bundles on the projective line
• Holomorphic principal bundles over elliptic curves. II: The parabolic construction.
• Stable principal bundles on a compact Riemann surface
• The Yang-Mills equations over Riemann surfaces