The orbit space of the action of gauge transformation group on connections

DOI10.1016/0393-0440(89)90025-9zbMath0718.58013OpenAlexW1976456557MaRDI QIDQ2639387

Maria Cristina Abbati, Alessandro Manià, Renzo Cirelli

Publication date: 1989

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(89)90025-9

zbMATH Keywords

stratificationconnectionssmooth gauge transformations

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Moduli problems for differential geometric structures (58D27) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Manifolds of mappings (58D15) Stratifications in topological manifolds (57N80)

Related Items (11)

Yang-Mills moduli spaces over an orientable closed surface via Fréchet reduction ⋮ Slice theorem and orbit type stratification in infinite dimensions ⋮ The general caloron correspondence ⋮ Singular symplectic cotangent bundle reduction of gauge field theory ⋮ Lie group structures on symmetry groups of principal bundles ⋮ Homotopy colimits and global observables in abelian gauge theory ⋮ On the Riemannian geometry of Seiberg-Witten moduli spaces ⋮ Normal form of equivariant maps in infinite dimensions ⋮ Michel theory of symmetry breaking and gauge theories ⋮ On differential structure for projective limits of manifolds ⋮ The pure state space of quantum mechanics as Hermitian symmetric space

Cites Work

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• Symmetry and bifurcations of momentum mappings
• The Riemannian geometry of the configuration space of gauge theories
• Some remarks on the Gribov ambiguity
• Weak Riemannian structures on gauge-group orbits
• The group of gauge transformations as a Schwartz–Lie group
• Elliptic operators and the decomposition of tensor fields
• The inverse function theorem of Nash and Moser
• The Geometry of the Orbit Space for Non-Abelian Gauge Theories
• Smoothness of the action of the gauge transformation group on connections
• The Yang-Mills equations over Riemann surfaces
• The classification of 𝐺-spaces

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