On the Yang–Mills stratification for surfaces

DOI10.1090/S0002-9939-2010-10614-7zbMath1230.53026arXiv0805.2587MaRDI QIDQ3003596

Daniel A. Ramras

Publication date: 27 May 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2587

Mathematics Subject Classification ID

Combinatorial inequalities (05A20) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Variational problems concerning extremal problems in several variables; Yang-Mills functionals (58E15)

Related Items (5)

Non-orientable surfaces and electric-magnetic duality ⋮ A finite-dimensional approach to the strong Novikov conjecture ⋮ Invariant tubular neighborhoods in infinite-dimensional Riemannian geometry, with applications to Yang-Mills theory ⋮ Yang-Mills theory over surfaces and the Atiyah-Segal theorem ⋮ The stable moduli space of flat connections over a surface

Cites Work

• Antiperfect Morse stratification
• Yang-Mills connections on nonorientable surfaces
• Yang-Mills theory over surfaces and the Atiyah-Segal theorem
• Universal moduli spaces of surfaces with flat bundles and cobordism theory
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Connections with \(L^ p \)bounds on curvature
• The topology of the space of stable bundles on a compact Riemann surface
• An application of transversality to the topology of the moduli space of stable bundles
• Orientability in Yang-Mills theory over nonorientable surfaces
• Yang-Mills connections on orientable and nonorientable surfaces
• On the Yang-Mills heat equation in two and three dimensions.
• The Yang-Mills equations over Riemann surfaces
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