Equivariant characteristic forms on the bundle of connections

DOI10.1016/j.geomphys.2004.09.005zbMath1080.57028arXivmath-ph/0307022OpenAlexW1562736066MaRDI QIDQ557163

Roberto Ferreiro Pérez

Publication date: 23 June 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0307022

zbMATH Keywords

equivariant cohomologygauge theoriesmoment mapbundle of connectionsChern-Weil theoryequivariant characteristic classesChern-Simons Lagrangians

Mathematics Subject Classification ID

Jets in global analysis (58A20) Characteristic classes and numbers in differential topology (57R20) Moduli problems for differential geometric structures (58D27) Equivariant homology and cohomology in algebraic topology (55N91) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07) Group actions and symmetry properties (58D19) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15) Connections (general theory) (53C05)

Related Items (8)

Local anomalies and local equivariant cohomology ⋮ Euler–Lagrange Equations for Functionals Defined On Fréchet Manifolds ⋮ Pontryagin forms on \((4r-2)\)-manifolds and symplectic structures on the spaces of Riemannian metrics ⋮ LOCAL COHOMOLOGY AND THE VARIATIONAL BICOMPLEX ⋮ Differential characters and cohomology of the moduli of flat connections ⋮ Natural connections on the bundle of Riemannian metrics ⋮ Equivariant prequantization bundles on the space of connections and characteristic classes ⋮ On the geometrical interpretation of locality in anomaly cancellation

Cites Work

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• Zeros d'un champ de vecteurs et classes characteristiques équivariantes
• The moment map and equivariant cohomology
• The action of the group of bundle-automorphisms on the space of connections and the geometry of gauge theories
• On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
• Gauge algebras, curvature and symplectic structure
• Symplectic structures on gauge theory
• The equivariant Chern character for non-compact Lie groups
• Cohomological obstructions to the equivariant extension of closed invariant forms
• Dirac operators coupled to vector potentials
• First-order locally variational operators
• The Yang-Mills equations over Riemann surfaces
• NOETHER CONSERVATION LAWS IN HIGHER-DIMENSIONAL CHERN–SIMONS THEORY
• Topological Yang-Mills symmetry
• The geometry of the bundle of connections
• Gauge interpretation of characteristic classes

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