Geometric structure on the orbit space of gauge connections

DOI10.1016/0393-0440(86)90016-1zbMath0624.53055OpenAlexW2042713506MaRDI QIDQ578635

Paweł Sadowski, Witold III Kondracki

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0393-0440(86)90016-1

zbMATH Keywords

configuration spaceprincipal bundleslice theoremstratification structureYang-Mills field theory

Mathematics Subject Classification ID

Constructive quantum field theory (81T08) Applications of global differential geometry to the sciences (53C80) Fiber spaces in algebraic topology (55R05)

Related Items

Anomalies from nonfree action of the gauge group, Constrained quantization and \(\theta \)-angles, The singularities of Yang-Mills connections for bundles on a surface. II: The stratification, Unnamed Item, Anomalies from the point of view of G-theory, On the configuration space of gauge theories., Structure of the space of reducible connections for Yang-Mills theories, On the orbit types of the action of the gauge group on connections modulo pointed gauge transformations, The geometry of gauge fields, The Poincaré variational principle in the Lagrange–Poincaré reduction of mechanical systems with symmetry, Michel theory of symmetry breaking and gauge theories, Classification and partial ordering of reductive Howe dual pairs of classical Lie groups

Cites Work

• Elementary structure of real algebraic varieties
• Geometry of SU(2) gauge fields
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Elliptic systems in H(s,delta) spaces on manifolds which are Euclidean at infinity
• Some remarks on the Gribov ambiguity
• Topological aspects of Yang-Mills theory
• Groups of diffeomorphisms and the motion of an incompressible fluid
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