Cohomology of the infinite-order jet space and the inverse problem

DOI10.1063/1.1390328zbMath1012.58001arXivmath-ph/0005009OpenAlexW2038573982MaRDI QIDQ2775032

Luigi Mangiarotti, Giovanni Giachetta, Gennadi A. Sardanashvily

Publication date: 26 February 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0005009

zbMATH Keywords

calculus of variationsLagrangian field theoryexterior formsBRST theorytime-dependent mechanicsinfinite-order jet space

Mathematics Subject Classification ID

Quantization in field theory; cohomological methods (81T70) Jets in global analysis (58A20) Pseudogroups, differentiable groupoids and general structures on manifolds (58H99)

Related Items (9)

A cohomological approach to immersed submanifolds via integrable systems ⋮ GRADED INFINITE ORDER JET MANIFOLDS ⋮ Differential calculus on \(\mathbb{N}\)-graded manifolds ⋮ Covariant phase space, constraints, gauge and the Peierls formula ⋮ Presymplectic current and the inverse problem of the calculus of variations ⋮ GRADED LAGRANGIAN FORMALISM ⋮ Lagrangian supersymmetries depending on derivatives. Global analysis and cohomology ⋮ CLASSICAL FIELD THEORY: ADVANCED MATHEMATICAL FORMULATION ⋮ Noether’s second theorem for BRST symmetries

Cites Work

• The \({\mathcal C}\)-spectral sequence, Lagrangian formalism, and conservation laws. II: The nonlinear theory
• Local BRST cohomology and covariance
• Trivial Lagrangians in field theory
• Local BRST cohomology in gauge theories
• Local BRST cohomology in the antifield formalism. I: General theorems
• On the Existence of Global Variational Principles
• Finite order variational bicomplexes

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