LOCAL COHOMOLOGY AND THE VARIATIONAL BICOMPLEX

DOI10.1142/S0219887808002965zbMath1146.58004MaRDI QIDQ3519815

Roberto Ferreiro Pérez

Publication date: 19 August 2008

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

local cohomologyvariational bicomplexspace of metricsspace of connectionsmanifold of sections

Mathematics Subject Classification ID

Jets in global analysis (58A20) Variational problems in infinite-dimensional spaces (58E99) Classifying spaces for foliations; Gelfand-Fuks cohomology (57R32) Homology and cohomology theories in algebraic topology (55N99) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (4)

Local anomalies and local equivariant cohomology ⋮ Pontryagin forms on \((4r-2)\)-manifolds and symplectic structures on the spaces of Riemannian metrics ⋮ Differential characters and cohomology of the moduli of flat connections ⋮ On the geometrical interpretation of locality in anomaly cancellation

Cites Work

• Unnamed Item
• Equivariant characteristic forms on the bundle of connections
• Continuous cohomologies of Lie algebras of formal G-invariant vector fields and obstructions to lifting foliations
• Foliated bundles and characteristic classes
• Gauge algebras, curvature and symplectic structure
• The cohomology of invariant variational bicomplexes
• The inverse function theorem of Nash and Moser
• The geometry of the bundle of connections

This page was built for publication: LOCAL COHOMOLOGY AND THE VARIATIONAL BICOMPLEX